Canonical Structure and Orthogonality of Forces and Currents in Irreversible Markov Chains [0.03%]
不可逆马尔可夫链中的力和电流的典范结构及正交性
Marcus Kaiser,Robert L Jack,Johannes Zimmer
Marcus Kaiser
We discuss a canonical structure that provides a unifying description of dynamical large deviations for irreversible finite state Markov chains (continuous time), Onsager theory, and Macroscopic Fluctuation Theory (MFT). For Markov chains, ...
A Re-entrant Phase Transition in the Survival of Secondary Infections on Networks [0.03%]
网络上继发感染存活的再入相变现象
Sam Moore,Peter Mörters,Tim Rogers
Sam Moore
We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped t...
Quantitative Boltzmann-Gibbs Principles via Orthogonal Polynomial Duality [0.03%]
通过正交多项式对偶性的定量Boltzmann-Gibbs原理
Mario Ayala,Gioia Carinci,Frank Redig
Mario Ayala
We study fluctuation fields of orthogonal polynomials in the context of particle systems with duality. We thereby obtain a systematic orthogonal decomposition of the fluctuation fields of local functions, where the order of every term can b...
Frank Redig,Federico Sau
Frank Redig
We find all self-duality functions of the form D ( ξ , η ) = ∏ x d ( ξ x , η x ) for a class of interacting particle systems. We call these duality functions of simple factorized form. The functions we re...
Isolation and Connectivity in Random Geometric Graphs with Self-similar Intensity Measures [0.03%]
自相似强度测度下的随机几何图的隔离与连接性问题研究
Carl P Dettmann
Carl P Dettmann
Random geometric graphs consist of randomly distributed nodes (points), with pairs of nodes within a given mutual distance linked. In the usual model the distribution of nodes is uniform on a square, and in the limit of infinitely many node...
Elliott H Lieb,Nicolas Rougerie,Jakob Yngvason
Elliott H Lieb
We consider general N-particle wave functions that have the form of a product of the Laughlin state with filling factor 1 / ℓ and an analytic function of the N variables. This is the most general form of a wave function that can aris...
Harmonic Analysis in Phase Space and Finite Weyl-Heisenberg Ensembles [0.03%]
相空间调和分析与有限Weyl-Heisenbergensemble理论
Luís Daniel Abreu,Karlheinz Gröchenig,José Luis Romero
Luís Daniel Abreu
Weyl-Heisenberg ensembles are translation-invariant determinantal point processes on R 2 d associated with the Schrödinger representation of the Heisenberg group, and include as examples the Ginibre ensemble and the polyanalytic ensembl...
Dorottya Beringer,Ádám Timár
Dorottya Beringer
There is an important parameter in control theory which is closely related to the directed matching ratio of the network, as shown in the paper of Liu et al. (Nature 473:167-173, 2011). We give proofs of two main statements of Liu et al. (2...
A C Fowler
A C Fowler
In this paper we revisit the problem of explaining phase transition by a study of a form of the Boltzmann equation, where inter-molecular attraction is included by means of a Vlasov term in the evolution equation for the one particle distri...
Michel Mandjes,Nicos J Starreveld,René Bekker
Michel Mandjes
This paper considers a population process on a dynamically evolving graph, which can be alternatively interpreted as a queueing network. The queues are of infinite-server type, entailing that at each node all customers present are served in...