Costanza Benassi,Benjamin Lees,Daniel Ueltschi
Costanza Benassi
We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths-Ginibre inequalities of the second kind generalise an earli...
A B Duncan,T Lelièvre,G A Pavliotis
A B Duncan
A standard approach to computing expectations with respect to a given target measure is to introduce an overdamped Langevin equation which is reversible with respect to the target distribution, and to approximate the expectation by a time-a...
Oskari H Ajanki,László Erdős,Torben Krüger
Oskari H Ajanki
We prove optimal local law, bulk universality and non-trivial decay for the off-diagonal elements of the resolvent for a class of translation invariant Gaussian random matrix ensembles with correlated entries. ...
A Hierarchical Kinetic Theory of Birth, Death and Fission in Age-Structured Interacting Populations [0.03%]
具年龄结构的相互作用种群分裂、出生和死亡的分层kinetic理论
Tom Chou,Chris D Greenman
Tom Chou
We develop mathematical models describing the evolution of stochastic age-structured populations. After reviewing existing approaches, we formulate a complete kinetic framework for age-structured interacting populations undergoing birth, de...
Gerardo Aquino,Ned S Wingreen,Robert G Endres
Gerardo Aquino
How cells reliably infer information about their environment is a fundamentally important question. While sensing and signaling generally start with cell-surface receptors, the degree of accuracy with which a cell can measure external ligan...
Scaling solution in the large population limit of the general asymmetric stochastic Luria-Delbrück evolution process [0.03%]
一般非对称随机Luria-Delbruck进化过程的大人口限制下的缩放解决方案
David A Kessler,Herbert Levine
David A Kessler
One of the most popular models for quantitatively understanding the emergence of drug resistance both in bacterial colonies and in malignant tumors was introduced long ago by Luria and Delbrück. Here, individual resistant mutants emerge ra...
Saving Human Lives: What Complexity Science and Information Systems can Contribute [0.03%]
救人性命：复杂科学和信息系统的贡献
Dirk Helbing,Dirk Brockmann,Thomas Chadefaux et al.
Dirk Helbing et al.
We discuss models and data of crowd disasters, crime, terrorism, war and disease spreading to show that conventional recipes, such as deterrence strategies, are often not effective and sufficient to contain them. Many common approaches do n...
Christopher J Fennell,Ken A Dill
Christopher J Fennell
We consider the free energies of solvating molecules in water. Computational modeling usually involves either detailed explicit-solvent simulations, or faster computations, which are based on implicit continuum approximations or additivity ...
Hsieh Fushing,Chen Chen,Shan-Yu Liu et al.
Hsieh Fushing et al.
We propose a new method inspired from statistical mechanics for extracting geometric information from undirected binary networks and generating random networks that conform to this geometry. In this method an undirected binary network is pe...
Towards a General Theory of Extremes for Observables of Chaotic Dynamical Systems [0.03%]
论观测混沌动力系统极端值的通用理论
Valerio Lucarini,Davide Faranda,Jeroen Wouters et al.
Valerio Lucarini et al.
In this paper we provide a connection between the geometrical properties of the attractor of a chaotic dynamical system and the distribution of extreme values. We show that the extremes of so-called physical observables are distributed acco...