A computer scientist’s perspective on approximation of IFS invariant sets and measures with the random iteration algorithm [PDF]
International Journal of Electronics and TelecommunicationsWe study invariant sets and measures generated by iterated function systems defined on countable discrete spaces that are uniform grids of a finite dimension.
Tomasz Martyn
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On the metrical theory of a non-regular continued fraction expansion
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 We introduced a new continued fraction expansions in our previous paper. For these expansions, we show the Brodén-Borel-Lévy type formula. Furthermore, we compute the transition probability function from this and the symbolic dynamical system of the ...
Lascu Dan, Cîrlig George
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Bootstrap, Markov Chain Monte Carlo, and LP/SDP hierarchy for the lattice Ising model
Journal of High Energy Physics, 2023 Bootstrap is an idea that imposing consistency conditions on a physical system may lead to rigorous and nontrivial statements about its physical observables. In this work, we discuss the bootstrap problem for the invariant measure of the stochastic Ising
Minjae Cho, Xin Sun
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New Invariant Quantity To Measure The Entanglement In The Braids
Journal of Nigerian Society of Physical Sciences, 2022 In this work, we demonstrate that the integral formula for a generalised Sato-Levine invariant is consistent in certain situations with Evans and Berger's formula for the fourth-order winding number.
Faik Mayah +2 more
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Conservation Laws and Invariant Measures in Surjective Cellular Automata [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We discuss a close link between two seemingly different topics studied in the cellular automata literature: additive conservation laws and invariant probability measures.
Jarkko Kari, Siamak Taati
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On some symmetric multidimensional continued fraction algorithms [PDF]
, 2015 We compute explicitly the density of the invariant measure for the Reverse algorithm which is absolutely continuous with respect to Lebesgue measure, using a method proposed by Arnoux and Nogueira. We also apply the same method on the unsorted version of
Arnoux +5 more
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The work of Professor Andrzej Lasota on asymptotic stability and recent progress [PDF]
Opuscula Mathematica, 2008 The paper is devoted to Professor Andrzej Lasota's contribution to the ergodic theory of stochastic operators. We have selected some of his important papers and shown their influence on the evolution of this topic. We emphasize the role A.
Wojciech Bartoszek
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Invariant measures and random attractors of stochastic delay differential equations in Hilbert space
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also ...
Shangzhi Li, Shangjiang Guo
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Long-Run Accuracy of Variational Integrators in the Stochastic Context [PDF]
, 2010 This paper presents a Lie-Trotter splitting for inertial Langevin equations (Geometric Langevin Algorithm) and analyzes its long-time statistical properties. The splitting is defined as a composition of a variational integrator with an Ornstein-Uhlenbeck
Bou-Rabee N. +3 more
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A note on the support of right invariant measures
International Journal of Mathematics and Mathematical Sciences, 1992 A regular measure μ on a locally compact topological semigroup is called right invariant if μ(Kx)=μ(K) for every compact K and x in its support. It is shown that this condition implies a property reminiscent of the right cancellation law. This is used to
N. A. Tserpes
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