Results 11 to 20 of about 30,360 (174)
Moments and Lyapunov exponents for the parabolic Anderson model [PDF]
Annals of Applied Probability 2014, Vol. 24, No. 3, 1172-1198, 2012 We study the parabolic Anderson model in $(1+1)$ dimensions with nearest neighbor jumps and space-time white noise (discrete space/continuous time). We prove a contour integral formula for the second moment and compute the second moment Lyapunov exponent.
Borodin, Alexei, Corwin, Ivan
arxiv +3 more sources
Families of piecewise linear maps with constant Lyapunov exponent [PDF]
arXiv, 2012 We consider families of piecewise linear maps in which the moduli of the two slopes take different values. In some parameter regions, despite the variations in the dynamics, the Lyapunov exponent and the topological entropy remain constant. We provide numerical evidence of this fact and we prove it analytically for some special cases.
Botella-Soler, V. +3 more
arxiv +2 more sources
Structured chaos shapes spike-response noise entropy in balanced neural networks. [PDF]
Front Comput Neurosci, 2014 Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code?
Lajoie G, Thivierge JP, Shea-Brown E.
europepmc +3 more sources
A finite state projection algorithm for the stationary solution of the chemical master equation [PDF]
, 2017 The chemical master equation (CME) is frequently used in systems biology to quantify the effects of stochastic fluctuations that arise due to biomolecular species with low copy numbers.
Gupta, Ankit +2 more
core +5 more sources
Ergodicity of the zigzag process [PDF]
, 2019 The zigzag process is a Piecewise Deterministic Markov Process which can be used in a MCMC framework to sample from a given target distribution. We prove the convergence of this process to its target under very weak assumptions, and establish a central ...
Bierkens, Joris +2 more
core +2 more sources
How many inflections are there in the Lyapunov spectrum? [PDF]
, 2020 Iommi & Kiwi showed that the Lyapunov spectrum of an expanding map need not be concave, and posed various problems concerning the possible number of inflection points. In this paper we answer a conjecture of Iommi & Kiwi by proving that the Lyapunov spectrum of a two branch piecewise linear map has at most two points of inflection.
arxiv +1 more source
Observable Lyapunov irregular sets for planar piecewise expanding maps [PDF]
arXiv, 2022 For any integer $r$ with $1\leq r<\infty$, we present a one-parameter family $F_\sigma$ $(0<\sigma<1)$ of 2-dimensional piecewise $\mathcal C^r$ expanding maps such that each $F_\sigma$ has an observable (i.e. Lebesgue positive) Lyapunov irregular set. These maps are obtained by modifying the piecewise expanding map given in Tsujii (2000).
arxiv
Fault detection based on Lyapunov exponents estimation for stabilized mechanical systems [PDF]
, 2019 We study a stabilizable mechanical system in the vicinity of an equilibrium position. This position, as a rule, is unstable, and the system is underactuated. It is assumed that faults affect the technical process and its control.
Acho Zuppa, Leonardo +3 more
core +2 more sources
Spatially-distributed coverage optimization and control with limited-range interactions [PDF]
, 2004 This paper presents coordination algorithms for groups of mobile agents performing deployment and coverage tasks. As an important modeling constraint, we assume that each mobile agent has a limited sensing/communication radius.
Algorithmic +15 more
core +5 more sources
Perturbation of singular integral operators with piecewise continuous coefficients
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiIn the paper it is shown that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed showing that the
Vasile Neagu, Diana Bîclea
doaj +1 more source