## What is/are Simple Exclusion?

Simple Exclusion - For example, in particle transport models such as the asymmetric simple exclusion process (ASEP) on a lattice, the local density is a discrete analog to the height gradient [2, 3].^{[1]}In this short introductory review, I discuss possible questions that a quantum version of the MFT could address and how analysing quantum simple exclusion processes yields pieces of answers to these questions.

^{[2]}This article provides summary of some of our results, concerning a model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time discrete-space kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) with open boundaries.

^{[3]}We consider the totally asymmetric simple exclusion process (TASEP) with open boundaries, at the edge of the maximal current (MC) phase.

^{[4]}We revisit the nonequilibrium phase transition between a spatially homogeneous low-density phase and a phase-separated high-density state in the deterministic sublattice totally asymmetric simple exclusion process with stochastic defect.

^{[5]}In [AAV] Amir, Angel and Valk{o} studied a multi-type version of the totally asymmetric simple exclusion process (TASEP) and introduced the TASEP speed process, which allowed them to answer delicate questions about the joint distribution of the speed of several second-class particles in the TASEP rarefaction fan.

^{[6]}Being a vital two-dimensional multibody interacting particle system in nonlinear science and complex systems, exclusion network fuses totally asymmetric simple exclusion process into underlying complex network dynamics.

^{[7]}We study the probability distribution of entanglement in the quantum symmetric simple exclusion process, a model of fermions hopping with random Brownian amplitudes between neighboring sites.

^{[8]}Inspired by the recent results on totally asymmetric simple exclusion processes on a periodic lattice with short-ranged quenched hopping rates [A.

^{[9]}We study a single-channel dynamically disordered totally asymmetric simple exclusion process with bulk particle attachment and detachment.

^{[10]}We consider a geometric modification of the asymmetric simple exclusion process model in which each site of a one-dimensional chain is attached to a lateral dead-end site.

^{[11]}Previously we have proposed a simple cellular automaton model, based on the asymmetric simple exclusion process, that tries to capture the essential traffic properties of such an ant trail.

^{[12]}Assume that each species l has its own jump rate bl in the multi-species totally asymmetric simple exclusion process.

^{[13]}In the spin-$\frac12$ specialization, our refined Cauchy identity leads to a summation identity for eigenfunctions of the ASEP (Asymmetric Simple Exclusion Process), a celebrated stochastic interacting particle system in the Kardar-Parisi-Zhang universality class.

^{[14]}We consider a Lindblad equation that for particular initial conditions reduces to an asymmetric simple exclusion process with additional loss and gain terms.

^{[15]}In order to estimate the effect of cytoplasmic diffusion on the rate of translation, we consider a totally asymmetric simple exclusion process coupled to a finite diffusive reservoir, which we call the ribosome transport model with diffusion.

^{[16]}BACKGROUND AND OBJECTIVE Clipping is still considered the treatment of choice for middle cerebral artery (MCA) aneurysms due to their angioarchitectural characteristics as they are often bifurcation dysplasias, needing a complex reconstruction rather than a simple exclusion.

^{[17]}The effect of unequal constrained at branching point on phase diagrams is investigated by a totally asymmetric simple exclusion process (TASEP).

^{[18]}We consider the asymmetric simple exclusion process (ASEP) on Z with initial data such that in the large time particle density ρ(·) a discontinuity (shock) at the origin is created.

^{[19]}In a companion article [4] we study the quasi-static limit for the one-dimensional open asymmetric simple exclusion process (ASEP).

^{[20]}The particles and clusters obey the stochastic discrete-time discrete-space kinetics of the Totally Asymmetric Simple Exclusion Process (TASEP) with backward ordered sequential update (dynamics), endowed with two hopping probabilities, p and pm.

^{[21]}We consider the asymmetric simple exclusion process (ASEP) with forward hopping rate 1, backward hopping rate q and periodic boundary conditions.

^{[22]}The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications.

^{[23]}The totally asymmetric simple exclusion process (TASEP), which describes the stochastic dynamics of interacting particles on a lattice, has been actively studied over the past several decades and applied to model important biological transport processes.

^{[24]}We demonstrate our approach on three well-studied lattice models, the Fredrickson-Andersen and East kinetically constrained models, and the symmetric simple exclusion process.

^{[25]}Inspired by the recent experimental observations on molecular motors accumulating on microtubule filament, we study an open system of two antiparallel lanes totally asymmetric simple exclusion processes (TASEP) in the presence of dynamic roadblocks.

^{[26]}The two-chain totally asymmetric simple exclusion process (TASEP) with transverse and longitudinal binding energy is proposed, where particles transport in parallel.

^{[27]}We investigate the stationary state of symmetric and totally asymmetric simple exclusion processes with local resetting, on a one-dimensional lattice with periodic boundary conditions, using mean-field approximations, which appear to be exact in the thermodynamic limit, and kinetic Monte Carlo simulations.

^{[28]}We obtain a new relation between the distributions $$\upmu _t$$ μ t at different times $$t\ge 0$$ t ≥ 0 of the continuous-time totally asymmetric simple exclusion process (TASEP) started from the step initial configuration.

^{[29]}Afterwards, we model YELLOW through the totally asymmetric simple exclusion process (TASEP) and deduce the approximate solution of the existence condition for each stationary phase.

^{[30]}Here, we present an efficient solution to that problem by extending simple exclusion approaches to parentage analysis with single nucleotide polymorphic markers (SNPs).

^{[31]}Motivated by the impact of limited resources on the entry and exit of entities on a pathway in many transport systems, we investigate a system comprising of a bidirectional totally asymmetric simple exclusion process coupled to a reservoir featuring crowding effect.

^{[32]}Among them, totally asymmetric simple exclusion process (TASEP) belonging to asymmetric simple exclusion process (ASEP) stands out as a paradigm nonlinear dynamical model depicting microscopic non-equilibrium dynamics of real active particles.

^{[33]}Many integrable stochastic particle systems in one space dimension (such as TASEP - Totally Asymmetric Simple Exclusion Process - and its various deformations, with a notable exception of ASEP) remain integrable when we equip each particle $x_i$ with its own jump rate parameter $\nu_i$.

^{[34]}The system that is the focus of Chapters 2, 3, and 4 is the (Totally) Asymmetric Simple Exclusion Process, or (T)ASEP.

^{[35]}We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP).

^{[36]}We consider the PushTASEP (pushing totally asymmetric simple exclusion process, also sometimes called long-range TASEP) with the step initial configuration evolving in an inhomogeneous space.

^{[37]}We consider the asymmetric simple exclusion process on $\mathbb{Z}$ with a single second class particle initially at the origin.

^{[38]}The main difference with the asymmetric simple exclusion process (ASEP), which can be mapped to the ordinary XXZ spin chain, is that multiple particles can occupy one and the same site.

^{[39]}The average dynamics reduces to that of the symmetric simple exclusion process.

^{[40]}We consider the nearest-neighbour simple exclusion process on the one-dimensional discrete torus $\mathbb{T}_N=\mathbb{Z}/N\mathbb{Z}$ , with random rates $c_N=\{c_{x,N}\colon x \in \mathbb{T}_N\}$ defined in terms of a homogeneous Poisson process on $\mathbb{R}$ with intensity $\lambda$.

^{[41]}The asymmetric simple inclusion process (ASIP)-a lattice-gas model for unidirectional transport with irreversible aggregation-has been proposed as an inclusion counterpart of the asymmetric simple exclusion process and as a batch service counterpart of the tandem Jackson network.

^{[42]}We study two different versions of the simple exclusion process on augmented Galton-Watson trees, the constant speed model and the varying speed model.

^{[43]}To explore and understand basic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced.

^{[44]}The models include a soft version of the simple exclusion principle, thus allowing to model and analyze the evolution of "traffic jams" of particles along the chain.

^{[45]}We consider the one-dimensional totally asymmetric simple exclusion process with an arbitrary initial condition in a spatially periodic domain, and obtain explicit formulas for the multi-point distributions in the space-time plane.

^{[46]}Therefore, our current study was proposed aiming to develop simple exclusion criteria for drug candidates that are not suitable for microdialysis system investigation.

^{[47]}We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP).

^{[48]}This relation generalizes another one obtained by Tracy and Widom in the context of the asymmetric simple exclusion process.

^{[49]}We find that the DiSSEP (Dissipative Symmetric Simple Exclusion Process), introduced by Crampe this http URL.

^{[50]}

## Asymmetric Simple Exclusion

For example, in particle transport models such as the asymmetric simple exclusion process (ASEP) on a lattice, the local density is a discrete analog to the height gradient [2, 3].^{[1]}This article provides summary of some of our results, concerning a model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time discrete-space kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) with open boundaries.

^{[2]}We consider the totally asymmetric simple exclusion process (TASEP) with open boundaries, at the edge of the maximal current (MC) phase.

^{[3]}We revisit the nonequilibrium phase transition between a spatially homogeneous low-density phase and a phase-separated high-density state in the deterministic sublattice totally asymmetric simple exclusion process with stochastic defect.

^{[4]}In [AAV] Amir, Angel and Valk{o} studied a multi-type version of the totally asymmetric simple exclusion process (TASEP) and introduced the TASEP speed process, which allowed them to answer delicate questions about the joint distribution of the speed of several second-class particles in the TASEP rarefaction fan.

^{[5]}Being a vital two-dimensional multibody interacting particle system in nonlinear science and complex systems, exclusion network fuses totally asymmetric simple exclusion process into underlying complex network dynamics.

^{[6]}Inspired by the recent results on totally asymmetric simple exclusion processes on a periodic lattice with short-ranged quenched hopping rates [A.

^{[7]}We study a single-channel dynamically disordered totally asymmetric simple exclusion process with bulk particle attachment and detachment.

^{[8]}We consider a geometric modification of the asymmetric simple exclusion process model in which each site of a one-dimensional chain is attached to a lateral dead-end site.

^{[9]}Previously we have proposed a simple cellular automaton model, based on the asymmetric simple exclusion process, that tries to capture the essential traffic properties of such an ant trail.

^{[10]}Assume that each species l has its own jump rate bl in the multi-species totally asymmetric simple exclusion process.

^{[11]}In the spin-$\frac12$ specialization, our refined Cauchy identity leads to a summation identity for eigenfunctions of the ASEP (Asymmetric Simple Exclusion Process), a celebrated stochastic interacting particle system in the Kardar-Parisi-Zhang universality class.

^{[12]}We consider a Lindblad equation that for particular initial conditions reduces to an asymmetric simple exclusion process with additional loss and gain terms.

^{[13]}In order to estimate the effect of cytoplasmic diffusion on the rate of translation, we consider a totally asymmetric simple exclusion process coupled to a finite diffusive reservoir, which we call the ribosome transport model with diffusion.

^{[14]}The effect of unequal constrained at branching point on phase diagrams is investigated by a totally asymmetric simple exclusion process (TASEP).

^{[15]}We consider the asymmetric simple exclusion process (ASEP) on Z with initial data such that in the large time particle density ρ(·) a discontinuity (shock) at the origin is created.

^{[16]}In a companion article [4] we study the quasi-static limit for the one-dimensional open asymmetric simple exclusion process (ASEP).

^{[17]}The particles and clusters obey the stochastic discrete-time discrete-space kinetics of the Totally Asymmetric Simple Exclusion Process (TASEP) with backward ordered sequential update (dynamics), endowed with two hopping probabilities, p and pm.

^{[18]}We consider the asymmetric simple exclusion process (ASEP) with forward hopping rate 1, backward hopping rate q and periodic boundary conditions.

^{[19]}The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications.

^{[20]}The totally asymmetric simple exclusion process (TASEP), which describes the stochastic dynamics of interacting particles on a lattice, has been actively studied over the past several decades and applied to model important biological transport processes.

^{[21]}Inspired by the recent experimental observations on molecular motors accumulating on microtubule filament, we study an open system of two antiparallel lanes totally asymmetric simple exclusion processes (TASEP) in the presence of dynamic roadblocks.

^{[22]}The two-chain totally asymmetric simple exclusion process (TASEP) with transverse and longitudinal binding energy is proposed, where particles transport in parallel.

^{[23]}We investigate the stationary state of symmetric and totally asymmetric simple exclusion processes with local resetting, on a one-dimensional lattice with periodic boundary conditions, using mean-field approximations, which appear to be exact in the thermodynamic limit, and kinetic Monte Carlo simulations.

^{[24]}We obtain a new relation between the distributions $$\upmu _t$$ μ t at different times $$t\ge 0$$ t ≥ 0 of the continuous-time totally asymmetric simple exclusion process (TASEP) started from the step initial configuration.

^{[25]}Afterwards, we model YELLOW through the totally asymmetric simple exclusion process (TASEP) and deduce the approximate solution of the existence condition for each stationary phase.

^{[26]}Motivated by the impact of limited resources on the entry and exit of entities on a pathway in many transport systems, we investigate a system comprising of a bidirectional totally asymmetric simple exclusion process coupled to a reservoir featuring crowding effect.

^{[27]}Among them, totally asymmetric simple exclusion process (TASEP) belonging to asymmetric simple exclusion process (ASEP) stands out as a paradigm nonlinear dynamical model depicting microscopic non-equilibrium dynamics of real active particles.

^{[28]}Many integrable stochastic particle systems in one space dimension (such as TASEP - Totally Asymmetric Simple Exclusion Process - and its various deformations, with a notable exception of ASEP) remain integrable when we equip each particle $x_i$ with its own jump rate parameter $\nu_i$.

^{[29]}The system that is the focus of Chapters 2, 3, and 4 is the (Totally) Asymmetric Simple Exclusion Process, or (T)ASEP.

^{[30]}We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP).

^{[31]}We consider the PushTASEP (pushing totally asymmetric simple exclusion process, also sometimes called long-range TASEP) with the step initial configuration evolving in an inhomogeneous space.

^{[32]}We consider the asymmetric simple exclusion process on $\mathbb{Z}$ with a single second class particle initially at the origin.

^{[33]}The main difference with the asymmetric simple exclusion process (ASEP), which can be mapped to the ordinary XXZ spin chain, is that multiple particles can occupy one and the same site.

^{[34]}The asymmetric simple inclusion process (ASIP)-a lattice-gas model for unidirectional transport with irreversible aggregation-has been proposed as an inclusion counterpart of the asymmetric simple exclusion process and as a batch service counterpart of the tandem Jackson network.

^{[35]}To explore and understand basic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced.

^{[36]}We consider the one-dimensional totally asymmetric simple exclusion process with an arbitrary initial condition in a spatially periodic domain, and obtain explicit formulas for the multi-point distributions in the space-time plane.

^{[37]}We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP).

^{[38]}This relation generalizes another one obtained by Tracy and Widom in the context of the asymmetric simple exclusion process.

^{[39]}The totally asymmetric simple exclusion process was originally introduced as a model for the trafficlike collective movement of ribosomes on a messenger RNA (mRNA) that serves as the track for the motorlike forward stepping of individual ribosomes.

^{[40]}Specifically, we were able to clearly distinguish chaotic from integrable dynamics in boundary-driven dissipative spin-chain Liouvillians and in the classical asymmetric simple exclusion process and to differentiate localized from delocalized phases in a nonhermitian disordered many-body system.

^{[41]}In the area of statistical physics, totally asymmetric simple exclusion process (TASEP) is treated as one of the most important driven-diffusive systems.

^{[42]}We propose an extension of the totally asymmetric simple exclusion process (TASEP) in which particles hopping along a lattice can be blocked by obstacles that dynamically attach/detach from lattice sites.

^{[43]}In this paper, the effect of different hopping rates coupled with on-ramp on the phase diagrams has been investigated by totally asymmetric simple exclusion process (TASEP).

^{[44]}Stimulated by these observations, we developed a theoretical framework to investigate network junction models of totally asymmetric simple exclusion processes with interacting particles.

^{[45]}Recently James Martin introduced multiline queues, and used them to give a combinatorial formula for the stationary distribution of the multispecies asymmetric simple exclusion exclusion process (ASEP) on a circle.

^{[46]}We consider a finite one-dimensional totally asymmetric simple exclusion process (TASEP) with four types of particles, $\{1,0,\bar{1},*\}$, in contact with reservoirs.

^{[47]}This paper studies a two-lane totally asymmetric simple exclusion processes with parallel update rule.

^{[48]}In this paper we consider the totally asymmetric simple exclusion process, with non-random initial condition having three regions of constant densities of particles.

^{[49]}Asymptotic Kardar-Parisi-Zhang (KPZ) properties are investigated in the totally asymmetric simple exclusion process (TASEP) with a localized geometric defect.

^{[50]}

## Symmetric Simple Exclusion

We study the probability distribution of entanglement in the quantum symmetric simple exclusion process, a model of fermions hopping with random Brownian amplitudes between neighboring sites.^{[1]}We demonstrate our approach on three well-studied lattice models, the Fredrickson-Andersen and East kinetically constrained models, and the symmetric simple exclusion process.

^{[2]}The average dynamics reduces to that of the symmetric simple exclusion process.

^{[3]}We find that the DiSSEP (Dissipative Symmetric Simple Exclusion Process), introduced by Crampe this http URL.

^{[4]}In this paper we consider a symmetric simple exclusion process on the d-dimensional discrete torus $${\mathbb {T}}^d_N$$TNd with a spatial non-homogeneity given by a slow membrane.

^{[5]}For diffusive many-particle systems such as the SSEP (symmetric simple exclusion process) or independent particles coupled with reservoirs at the boundaries, we analyze the density fluctuations conditioned on current integrated over a large time.

^{[6]}The so-called kinetic exclusion process has as limiting cases two of the most paradigmatic models of nonequilibrium physics, namely the symmetric simple exclusion process of particle diffusion and the Kipnis-Marchioro-Presutti model of heat flow, making it the ideal testbed where to further develop modern theories of nonequilibrium behavior.

^{[7]}The boundary driven Symmetric Simple Exclusion Process (open SSEP) belongs to the latter.

^{[8]}

## simple exclusion proces

For example, in particle transport models such as the asymmetric simple exclusion process (ASEP) on a lattice, the local density is a discrete analog to the height gradient [2, 3].^{[1]}This article provides summary of some of our results, concerning a model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time discrete-space kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) with open boundaries.

^{[2]}We consider the totally asymmetric simple exclusion process (TASEP) with open boundaries, at the edge of the maximal current (MC) phase.

^{[3]}We revisit the nonequilibrium phase transition between a spatially homogeneous low-density phase and a phase-separated high-density state in the deterministic sublattice totally asymmetric simple exclusion process with stochastic defect.

^{[4]}In [AAV] Amir, Angel and Valk{o} studied a multi-type version of the totally asymmetric simple exclusion process (TASEP) and introduced the TASEP speed process, which allowed them to answer delicate questions about the joint distribution of the speed of several second-class particles in the TASEP rarefaction fan.

^{[5]}Being a vital two-dimensional multibody interacting particle system in nonlinear science and complex systems, exclusion network fuses totally asymmetric simple exclusion process into underlying complex network dynamics.

^{[6]}We study the probability distribution of entanglement in the quantum symmetric simple exclusion process, a model of fermions hopping with random Brownian amplitudes between neighboring sites.

^{[7]}We study a single-channel dynamically disordered totally asymmetric simple exclusion process with bulk particle attachment and detachment.

^{[8]}We consider a geometric modification of the asymmetric simple exclusion process model in which each site of a one-dimensional chain is attached to a lateral dead-end site.

^{[9]}Previously we have proposed a simple cellular automaton model, based on the asymmetric simple exclusion process, that tries to capture the essential traffic properties of such an ant trail.

^{[10]}Assume that each species l has its own jump rate bl in the multi-species totally asymmetric simple exclusion process.

^{[11]}In the spin-$\frac12$ specialization, our refined Cauchy identity leads to a summation identity for eigenfunctions of the ASEP (Asymmetric Simple Exclusion Process), a celebrated stochastic interacting particle system in the Kardar-Parisi-Zhang universality class.

^{[12]}We consider a Lindblad equation that for particular initial conditions reduces to an asymmetric simple exclusion process with additional loss and gain terms.

^{[13]}In order to estimate the effect of cytoplasmic diffusion on the rate of translation, we consider a totally asymmetric simple exclusion process coupled to a finite diffusive reservoir, which we call the ribosome transport model with diffusion.

^{[14]}The effect of unequal constrained at branching point on phase diagrams is investigated by a totally asymmetric simple exclusion process (TASEP).

^{[15]}We consider the asymmetric simple exclusion process (ASEP) on Z with initial data such that in the large time particle density ρ(·) a discontinuity (shock) at the origin is created.

^{[16]}In a companion article [4] we study the quasi-static limit for the one-dimensional open asymmetric simple exclusion process (ASEP).

^{[17]}The particles and clusters obey the stochastic discrete-time discrete-space kinetics of the Totally Asymmetric Simple Exclusion Process (TASEP) with backward ordered sequential update (dynamics), endowed with two hopping probabilities, p and pm.

^{[18]}We consider the asymmetric simple exclusion process (ASEP) with forward hopping rate 1, backward hopping rate q and periodic boundary conditions.

^{[19]}The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications.

^{[20]}The totally asymmetric simple exclusion process (TASEP), which describes the stochastic dynamics of interacting particles on a lattice, has been actively studied over the past several decades and applied to model important biological transport processes.

^{[21]}We demonstrate our approach on three well-studied lattice models, the Fredrickson-Andersen and East kinetically constrained models, and the symmetric simple exclusion process.

^{[22]}The two-chain totally asymmetric simple exclusion process (TASEP) with transverse and longitudinal binding energy is proposed, where particles transport in parallel.

^{[23]}We obtain a new relation between the distributions $$\upmu _t$$ μ t at different times $$t\ge 0$$ t ≥ 0 of the continuous-time totally asymmetric simple exclusion process (TASEP) started from the step initial configuration.

^{[24]}Afterwards, we model YELLOW through the totally asymmetric simple exclusion process (TASEP) and deduce the approximate solution of the existence condition for each stationary phase.

^{[25]}Motivated by the impact of limited resources on the entry and exit of entities on a pathway in many transport systems, we investigate a system comprising of a bidirectional totally asymmetric simple exclusion process coupled to a reservoir featuring crowding effect.

^{[26]}Among them, totally asymmetric simple exclusion process (TASEP) belonging to asymmetric simple exclusion process (ASEP) stands out as a paradigm nonlinear dynamical model depicting microscopic non-equilibrium dynamics of real active particles.

^{[27]}Many integrable stochastic particle systems in one space dimension (such as TASEP - Totally Asymmetric Simple Exclusion Process - and its various deformations, with a notable exception of ASEP) remain integrable when we equip each particle $x_i$ with its own jump rate parameter $\nu_i$.

^{[28]}The system that is the focus of Chapters 2, 3, and 4 is the (Totally) Asymmetric Simple Exclusion Process, or (T)ASEP.

^{[29]}We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP).

^{[30]}We consider the PushTASEP (pushing totally asymmetric simple exclusion process, also sometimes called long-range TASEP) with the step initial configuration evolving in an inhomogeneous space.

^{[31]}We consider the asymmetric simple exclusion process on $\mathbb{Z}$ with a single second class particle initially at the origin.

^{[32]}The main difference with the asymmetric simple exclusion process (ASEP), which can be mapped to the ordinary XXZ spin chain, is that multiple particles can occupy one and the same site.

^{[33]}The average dynamics reduces to that of the symmetric simple exclusion process.

^{[34]}We consider the nearest-neighbour simple exclusion process on the one-dimensional discrete torus $\mathbb{T}_N=\mathbb{Z}/N\mathbb{Z}$ , with random rates $c_N=\{c_{x,N}\colon x \in \mathbb{T}_N\}$ defined in terms of a homogeneous Poisson process on $\mathbb{R}$ with intensity $\lambda$.

^{[35]}The asymmetric simple inclusion process (ASIP)-a lattice-gas model for unidirectional transport with irreversible aggregation-has been proposed as an inclusion counterpart of the asymmetric simple exclusion process and as a batch service counterpart of the tandem Jackson network.

^{[36]}We study two different versions of the simple exclusion process on augmented Galton-Watson trees, the constant speed model and the varying speed model.

^{[37]}To explore and understand basic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced.

^{[38]}We consider the one-dimensional totally asymmetric simple exclusion process with an arbitrary initial condition in a spatially periodic domain, and obtain explicit formulas for the multi-point distributions in the space-time plane.

^{[39]}We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP).

^{[40]}This relation generalizes another one obtained by Tracy and Widom in the context of the asymmetric simple exclusion process.

^{[41]}We find that the DiSSEP (Dissipative Symmetric Simple Exclusion Process), introduced by Crampe this http URL.

^{[42]}The totally asymmetric simple exclusion process was originally introduced as a model for the trafficlike collective movement of ribosomes on a messenger RNA (mRNA) that serves as the track for the motorlike forward stepping of individual ribosomes.

^{[43]}Specifically, we were able to clearly distinguish chaotic from integrable dynamics in boundary-driven dissipative spin-chain Liouvillians and in the classical asymmetric simple exclusion process and to differentiate localized from delocalized phases in a nonhermitian disordered many-body system.

^{[44]}In the area of statistical physics, totally asymmetric simple exclusion process (TASEP) is treated as one of the most important driven-diffusive systems.

^{[45]}We propose an extension of the totally asymmetric simple exclusion process (TASEP) in which particles hopping along a lattice can be blocked by obstacles that dynamically attach/detach from lattice sites.

^{[46]}In this paper, the effect of different hopping rates coupled with on-ramp on the phase diagrams has been investigated by totally asymmetric simple exclusion process (TASEP).

^{[47]}Using the totally simple exclusion process (TASEP) on a road segment with ramps, we show that measuring the flow directly at the road junctions may be a useful setup.

^{[48]}We consider a finite one-dimensional totally asymmetric simple exclusion process (TASEP) with four types of particles, $\{1,0,\bar{1},*\}$, in contact with reservoirs.

^{[49]}In this paper we consider the totally asymmetric simple exclusion process, with non-random initial condition having three regions of constant densities of particles.

^{[50]}

## simple exclusion process

In this short introductory review, I discuss possible questions that a quantum version of the MFT could address and how analysing quantum simple exclusion processes yields pieces of answers to these questions.^{[1]}Inspired by the recent results on totally asymmetric simple exclusion processes on a periodic lattice with short-ranged quenched hopping rates [A.

^{[2]}Inspired by the recent experimental observations on molecular motors accumulating on microtubule filament, we study an open system of two antiparallel lanes totally asymmetric simple exclusion processes (TASEP) in the presence of dynamic roadblocks.

^{[3]}We investigate the stationary state of symmetric and totally asymmetric simple exclusion processes with local resetting, on a one-dimensional lattice with periodic boundary conditions, using mean-field approximations, which appear to be exact in the thermodynamic limit, and kinetic Monte Carlo simulations.

^{[4]}Stimulated by these observations, we developed a theoretical framework to investigate network junction models of totally asymmetric simple exclusion processes with interacting particles.

^{[5]}This paper studies a two-lane totally asymmetric simple exclusion processes with parallel update rule.

^{[6]}In our theoretical approach, we model the dynamics of molecular motors as onedimensional totally asymmetric simple exclusion processes for interacting particles.

^{[7]}