Elisa El Sergany,Matthieu Wyart,Tom W J de Geus
Elisa El Sergany
A dry frictional interface loaded in shear often displays stick-slip. The amplitude of this cycle depends on the probability that a microscopic event nucleates a rupture and on the rate at which microscopic events are triggered. The latter ...
Julia Sanders,Marco Baldovin,Paolo Muratore-Ginanneschi
Julia Sanders
Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an ope...
Exponential Stability and Hypoelliptic Regularization for the Kinetic Fokker-Planck Equation with Confining Potential [0.03%]
带有约束势的Kinetic Fokker-Planck方程的指数稳定性与次椭圆正则性
Anton Arnold,Gayrat Toshpulatov
Anton Arnold
This paper is concerned with a modified entropy method to establish the large-time convergence towards the (unique) steady state, for kinetic Fokker-Planck equations with non-quadratic confinement potentials in whole space. We extend previo...
Multicyclic Norias: A First-Transition Approach to Extreme Values of the Currents [0.03%]
多循环Norias：电流极值的第一过渡方法
Matteo Polettini,Izaak Neri
Matteo Polettini
For continuous-time Markov chains we prove that, depending on the notion of effective affinity F, the probability of an edge current to ever become negative is either 1 if F
Brice Huang,Mark Sellke
Brice Huang
This paper develops approximate message passing algorithms to optimize multi-species spherical spin glasses. We first show how to efficiently achieve the algorithmic threshold energy identified in our companion work (Huang and Sellke in arX...
Henk Bruin,Hector Homero Canales Farías
Henk Bruin
The aim of this paper is to obtain polynomial decay of correlations of a Lorenz-like flow where the hyperbolic saddle at the origin is replaced by a neutral saddle. To do that, we take the construction of the geometrical Lorenz flow and pro...
On a Factorization Formula for the Partition Function of Directed Polymers [0.03%]
关于有向聚合物分区函数的一个因子公式
Tobias Hurth,Konstantin Khanin,Beatriz Navarro Lameda et al.
Tobias Hurth et al.
We prove a factorization formula for the point-to-point partition function associated with a model of directed polymers on the space-time lattice Zd+1. The polymers are subject to a random potential induced by independent identically distri...
An Upper Bound on Topological Entropy of the Bunimovich Stadium Billiard Map [0.03%]
布尼姆维奇体育馆比利亚尔映射的拓扑熵上限
Jernej Činč,Serge Troubetzkoy
Jernej Činč
We show that the topological entropy of the billiard map in a Bunimovich stadium is at most log(3.49066). Keywords: ...
Stochastic Entropy Production: Fluctuation Relation and Irreversibility Mitigation in Non-unital Quantum Dynamics [0.03%]
随机熵产生：非幺正量子动力学中的涨落关系和不可逆性缓解
Eliana Fiorelli,Stefano Gherardini,Stefano Marcantoni
Eliana Fiorelli
In this work, we study the stochastic entropy production in open quantum systems whose time evolution is described by a class of non-unital quantum maps. In particular, as in Phys Rev E 92:032129 (2015), we consider Kraus operators that can...
Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman-Kac Approach [0.03%]
反应边界存在下的亚扩散：广义费曼-卡克方法
Toby Kay,Luca Giuggioli
Toby Kay
We derive, through subordination techniques, a generalized Feynman-Kac equation in the form of a time fractional Schrödinger equation. We relate such equation to a functional which we name the subordinated local time. We demonstrate throug...