The Experts below are selected from a list of 324 Experts worldwide ranked by ideXlab platform
Boris Tsirelson - One of the best experts on this subject based on the ideXlab platform.
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brownian local minima random dense Countable Sets and random equivalence classes
arXiv: Probability, 2006Co-Authors: Boris TsirelsonAbstract:A random dense Countable Set is characterized (in distribution) by independence and stationarity. Two examples are `Brownian local minima' and `unordered infinite sample'. They are identically distributed. A framework for such concepts, proposed here, includes a wide class of random equivalence classes.
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Random dense Countable Sets: characterization by independence
2005Co-Authors: Boris TsirelsonAbstract:A random dense Countable Set is characterized (in distribution) by independence and stationarity. Two examples are Brownian local minima and unordered infinite sample. They are identically distributed; the former ad hoc proof of this fact is now superseded by a general result
Tsirelson Boris - One of the best experts on this subject based on the ideXlab platform.
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Brownian local minima, random dense Countable Sets and random equivalence classes
2006Co-Authors: Tsirelson BorisAbstract:A random dense Countable Set is characterized (in distribution) by independence and stationarity. Two examples are `Brownian local minima' and `unordered infinite sample'. They are identically distributed. A framework for such concepts, proposed here, includes a wide class of random equivalence classes.Comment: 40 pages. Supersedes math.PR/0508414 and math.PR/051101
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Random dense Countable Sets: characterization by independence
2005Co-Authors: Tsirelson BorisAbstract:A random dense Countable Set is characterized (in distribution) by independence and stationarity. Two examples are `Brownian local minima' and `unordered infinite sample'. They are identically distributed; the former ad hoc proof of this fact is now superseded by a general result.Comment: 17 page
U. A. Rozikov - One of the best experts on this subject based on the ideXlab platform.
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gibbs measures on cayley trees
2013Co-Authors: U. A. RozikovAbstract:Properties of a Group Representation of the Cayley Tree Ising Model on Cayley Tree Ising Type Models with Competing Interactions Information Flow on Trees The Potts Model The Solid-on-Solid Model Models with Hard Constraints Potts Model with Countable Set of Spin Values Models with UnCountable Set of Spin Values Contour Arguments on Cayley Trees Other Models.
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The Potts Model with Countable Set of Spin Values on a Cayley Tree
Letters in Mathematical Physics, 2006Co-Authors: Nasir Ganikhodjaev, U. A. RozikovAbstract:We consider a nearest-neighbor Potts model, with Countable spin values 0,1,..., and non zero external field, on a Cayley tree of order k (with k +1 neighbors). We study translation-invariant ‘splitting’ Gibbs measures. We reduce the problem to the description of the solutions of some infinite system of equations. For any k ≥ 1 and any fixed probability measure ν with ν ( i )>0 on the Set of all non negative integer numbers Φ={0,1,...} we show that the Set of translation-invariant splitting Gibbs measures contains at most one point, independently on parameters of the Potts model with Countable Set of spin values on Cayley tree. Also we give description of the class of measures ν on Φ such that with respect to each element of this class our infinite system of equations has unique solution { a ^ i , i =1,2,...}, where a ∈(0,1).
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united nations educational scientic and cultural organization and international atomic energy agency the abdus salam international centre for theoretical physics uniqueness of gibbs measure for potts model with Countable Set of spin values
2004Co-Authors: Abdus Salam, U. A. RozikovAbstract:We consider a nearest-neighbor Potts model, with Countable spin values 0; 1; : : :, and non zero external eld, on a Cayley tree of order k (with k + 1 neighbors). We study translationinvariant ‘splitting’ Gibbs measures. We reduce the problem to the description of the solutions of some innite system of equations. For any k 1 and any xed probability measure with (i) > 0 on the Set of all non negative integer numbers = f0; 1; :::g we show that the Set of translation-invariant splitting Gibbs measures contains at most one point, independently on parameters of the Potts model with Countable Set of spin values on Cayley tree. Also we give a full description of the class of measures on such that with respect to each element of this class our innite system of equations has unique solution fa i ; i = 1; 2; :::g, where a 2 (0; 1):
Nasir Ganikhodjaev - One of the best experts on this subject based on the ideXlab platform.
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limiting gibbs measures of potts model with Countable Set of spin values
Journal of Mathematical Analysis and Applications, 2007Co-Authors: Nasir GanikhodjaevAbstract:We consider a nearest-neighbor Potts model, with Countable spin values Φ={0,1,…}, and nonzero external field, on a Cayley tree of order k (with k+1 neighbors). We study translation-invariant ‘splitting’ Gibbs measures. The problem is reduced to the description of the solutions of some infinite system of equations. We give full description of the class of probabilistic measures ν on Φ such that our infinite system of equations has unique solution with respect to each element of this class. In particular we describe the Poisson measures which are Gibbsian.
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The Potts Model with Countable Set of Spin Values on a Cayley Tree
Letters in Mathematical Physics, 2006Co-Authors: Nasir Ganikhodjaev, U. A. RozikovAbstract:We consider a nearest-neighbor Potts model, with Countable spin values 0,1,..., and non zero external field, on a Cayley tree of order k (with k +1 neighbors). We study translation-invariant ‘splitting’ Gibbs measures. We reduce the problem to the description of the solutions of some infinite system of equations. For any k ≥ 1 and any fixed probability measure ν with ν ( i )>0 on the Set of all non negative integer numbers Φ={0,1,...} we show that the Set of translation-invariant splitting Gibbs measures contains at most one point, independently on parameters of the Potts model with Countable Set of spin values on Cayley tree. Also we give description of the class of measures ν on Φ such that with respect to each element of this class our infinite system of equations has unique solution { a ^ i , i =1,2,...}, where a ∈(0,1).
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the potts model on zd with Countable Set of spin values
Journal of Mathematical Physics, 2004Co-Authors: Nasir GanikhodjaevAbstract:The Potts model with Countable Set Φ of spin values on Zd is considered. It is proved that with respect to Poisson distribution on Φ the Set of limiting Gibbs measures is not empty.
George Yin - One of the best experts on this subject based on the ideXlab platform.
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Stability of Regime-Switching Diffusion Systems with Discrete States Belonging to a Countable Set
SIAM Journal on Control and Optimization, 2018Co-Authors: Dang H. Nguyen, George YinAbstract:This work focuses on the stability of regime-switching diffusions consisting of continuous and discrete components, in which the discrete component switches in a countably infinite Set and its swit...
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Stability of Regime-Switching Diffusion Systems with Discrete States Belonging to a Countable Set
arXiv: Probability, 2017Co-Authors: Dang H. Nguyen, George YinAbstract:This work focuses on stability of regime-switching diffusions consisting of continuous and discrete components, in which the discrete component switches in a countably infinite Set and its switching rates at current time depend on the continuous component. In contrast to the existing approach, this work provides more practically viable approach with more feasible conditions for stability. A classical approach for asymptotic stabilityusing Lyapunov function techniques shows the Lyapunov function evaluated at the solution process goes to 0 as time $t\to \infty$. A distinctive feature of this paper is to obtain estimates of path-wise rates of convergence, which pinpoints how fast the aforementioned convergence to 0 taking place. Finally, some examples are given to illustrate our findings.
