Hydrodynamic Limit of Condensing Two-Species Zero Range Processes with Sub-critical Initial Profiles [0.03%]
具有亚临界初始剖面的凝结两物种零范围模型的流体动力学限制
Nicolas Dirr,Marios G Stamatakis,Johannes Zimmer
Nicolas Dirr
Two-species condensing zero range processes (ZRPs) are interacting particle systems with two species of particles and zero range interaction exhibiting phase separation outside a domain of sub-critical densities. We prove the hydrodynamic l...
Acceleration of Convergence to Equilibrium in Markov Chains by Breaking Detailed Balance [0.03%]
通过打破详尽平衡加速马尔可夫链的均衡收敛性
Marcus Kaiser,Robert L Jack,Johannes Zimmer
Marcus Kaiser
We analyse and interpret the effects of breaking detailed balance on the convergence to equilibrium of conservative interacting particle systems and their hydrodynamic scaling limits. For finite systems of interacting particles, we review e...
Using Perturbed Underdamped Langevin Dynamics to Efficiently Sample from Probability Distributions [0.03%]
利用扰动欠阻尼兰乔维亚动态高效地从概率分布中采样
A B Duncan,N Nüsken,G A Pavliotis
A B Duncan
In this paper we introduce and analyse Langevin samplers that consist of perturbations of the standard underdamped Langevin dynamics. The perturbed dynamics is such that its invariant measure is the same as that of the unperturbed dynamics....
Adrien Blanchet,Pierre Degond
Adrien Blanchet
We consider systems of agents interacting through topological interactions. These have been shown to play an important part in animal and human behavior. Precisely, the system consists of a finite number of particles characterized by their ...
Toufik Mansour,Reza Rastegar,Alexander Roitershtein
Toufik Mansour
We revisit the model of the ballistic deposition studied in [5] and prove several combinatorial properties of the random tree structure formed by the underlying stochastic process. Our results include limit theorems for the number of roots ...
Jonas Arista,Neil O&#x;Connell
Jonas Arista
It is well known that there are close connections between non-intersecting processes in one dimension and random matrices, based on the reflection principle. There is a generalisation of the reflection principle for more general (e.g. plana...
Edoardo Mainini,Paolo Piovano,Bernd Schmidt et al.
Edoardo Mainini et al.
We investigate the Edge-Isoperimetric Problem (EIP) for sets with n elements of the cubic lattice by emphasizing its relation with the emergence of the Wulff shape in the crystallization problem. Minimizers M n of the edge perimeter are sh...
Third-Order Phase Transition: Random Matrices and Screened Coulomb Gas with Hard Walls [0.03%]
三阶相变：带硬壁的随机矩阵和 screened coulomb气体
Fabio Deelan Cunden,Paolo Facchi,Marilena Ligabò et al.
Fabio Deelan Cunden et al.
Consider the free energy of a d-dimensional gas in canonical equilibrium under pairwise repulsive interaction and global confinement, in presence of a volume constraint. When the volume of the gas is forced away from its typical value, the ...
Fabio Deelan Cunden,Francesco Mezzadri,Neil O&#x;Connell
Fabio Deelan Cunden
There is a close connection between the ground state of non-interacting fermions in a box with classical (absorbing, reflecting, and periodic) boundary conditions and the eigenvalue statistics of the classical compact groups. The associated...
Remco van der Hofstad,Sandra Kliem,Johan S H van Leeuwaarden
Remco van der Hofstad
Recently, the scaling limit of cluster sizes for critical inhomogeneous random graphs of rank-1 type having finite variance but infinite third moment degrees was obtained in Bhamidi et al. (Ann Probab 40:2299-2361, 2012). It was proved that...