Results 81 to 90 of about 14,174 (225)

Substitutions on compact alphabets

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
wiley   +1 more source

Trotterless Simulation of Open Quantum Systems for NISQ Quantum Devices

Advanced Quantum Technologies, Volume 8, Issue 1, January 2025.
Open quantum systems exhibit complex dynamics that can be simulated on quantum computers to provide physical insights into their behavior. This work proposes a new method for simulating these systems that reduces the effect of noise and errors on modern quantum hardware.
Colin Burdine, Enrique P. Blair
wiley   +1 more source

Reliability Analysis and Numerical Simulation of the Five-Robot System with Early Warning Function

Axioms
The rapid advancement of robotic technologies has demonstrated the significant potential of Multi-Robot Systems (MRS) for application across various fields, particularly in automation, manufacturing, and rescue operations.
Xing Qiao, Dan Ma, Shuang Guo
doaj   +1 more source

Non-linear Log-Sobolev inequalities for the Potts semigroup and applications to reconstruction problems

, 2020
Consider a Markov process with state space $[k]$, which jumps continuously to a new state chosen uniformly at random and regardless of the previous state. The collection of transition kernels (indexed by time $t\ge 0$) is the Potts semigroup.
Gu, Yuzhou, Polyanskiy, Yury
core  

Contractivity and ground state domination properties for non-local Schr\"odinger operators [PDF]

, 2015
We study supercontractivity and hypercontractivity of Markov semigroups obtained via ground state transformation of non-local Schr\"odinger operators based on generators of symmetric jump-paring L\'evy processes with Kato-class confining potentials. This
Kaleta, Kamil, Kwaśnicki, Mateusz, Lőrinczi, József   +2 more
core   +1 more source

Covariant Mehler semigroups in Hilbert space [PDF]

, 2007
We find necessary and sufficient conditions for a generalised Mehler semigroup to be covariant under the action of a locally compact group. These are then applied to implement "noise reduction" for Hilbert-space valued Ornstein - Uhlenbeck processes ...
Applebaum, D.
core  

Information Storage and Transmission under Markovian Noise

PRX Quantum
We study the information transmission capacities of quantum Markov semigroups acting on finite-dimensional quantum systems. We show that, in the limit of infinite time, the capacities can be efficiently computed in terms of the structure of the ...
Satvik Singh, Nilanjana Datta
doaj   +1 more source

With Andrzej Lasota There and Back Again

Annales Mathematicae Silesianae
The paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasota’s results on the author’s research concerning various fields of ...
Rudnicki Ryszard
doaj   +1 more source

The Differential Structure of Generators of GNS-symmetric Quantum Markov Semigroups [PDF]

, 2022
Melchior Wirth
openalex   +1 more source

A Criterium for the Strict Positivity of the Density of the Law of a Poisson Process

Advances in Difference Equations, 2011
We translate in semigroup theory our result (Léandre, 1990) giving a necessary condition so that the law of a Markov process with jumps could have a strictly positive density. This result express, that we have to jump in a finite number of jumps in
Léandre Rémi
doaj