Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Thomas M. Liggett"'
Publikováno v:
Forum of Mathematics, Pi, Vol 4 (2016)
We prove that proper coloring distinguishes between block factors and finitely dependent stationary processes. A stochastic process is finitely dependent if variables at sufficiently well-separated locations are independent; it is a block factor if i
Externí odkaz:
https://doaj.org/article/8e9ac82718354a33bca0c9ff3b1b3db4
Publikováno v:
ANALCO
Let $(X_1 , \ldots , X_d)$ be random variables taking nonnegative integer values and let $f(z_1, \ldots , z_d)$ be the probability generating function. Suppose that $f$ is real stable; equivalently, suppose that the polarization of this probability d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da9e290a3d5e5a108ceb6d0ab6e1887f
http://arxiv.org/abs/1607.03036
http://arxiv.org/abs/1607.03036
Autor:
Thomas M. Liggett
Publikováno v:
Proceedings of the National Academy of Sciences. 107:16413-16419
A very large and active part of probability theory is concerned with the formulation and analysis of models for the evolution of large systems arising in the sciences, including physics and biology. These models have in their description randomness i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04d9652160a914f288202cbacd529ee7
https://doi.org/10.1073/pnas.1011270107
https://doi.org/10.1073/pnas.1011270107
Publikováno v:
Random Structures & Algorithms. 37:85-99
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b1ba495acc2f13a8e7e24a8dd9208e3
https://doi.org/10.1002/rsa.20312
https://doi.org/10.1002/rsa.20312
Publikováno v:
Journal of the American Mathematical Society. 23:831-851
Aldous' spectral gap conjecture asserts that on any graph the random walk process and the random transposition (or interchange) process have the same spectral gap. We prove the conjecture using a recursive strategy. The approach is a natural extensio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::254794aab041274146a4693d7a08e17b
https://doi.org/10.1090/s0894-0347-10-00659-4
https://doi.org/10.1090/s0894-0347-10-00659-4
Autor:
Rinaldo B. Schinazi, Thomas M. Liggett
Publikováno v:
Journal of Applied Probability. 46:601-607
We propose the following simple stochastic model for phylogenetic trees. New types are born and die according to a birth and death chain. At each birth we associate a fitness to the new type sampled from a fixed distribution. At each death the type w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03b7a47d8c667793964adc0dd9614848
https://doi.org/10.1017/s0021900200005684
https://doi.org/10.1017/s0021900200005684
Publikováno v:
Journal of the American Mathematical Society. 22:521-567
We introduce the class of {\em strongly Rayleigh} probability measures by means of geometric properties of their generating polynomials that amount to the stability of the latter. This class covers important models such as determinantal measures (e.g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::697a9faca7af32f634a0d57f76df4bf2
https://doi.org/10.1090/s0894-0347-08-00618-8
https://doi.org/10.1090/s0894-0347-08-00618-8
Publikováno v:
Economic Theory. 40:333-338
We consider the game in which b buyers each seek to purchase 1 unit of an indivisible good from s sellers, each of whom has k units to sell. The good is worth 0 to each seller and 1 to each buyer. Using the central limit theorem, and implicitly conve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::471d551720bc31922eb73817c12a2bf1
https://doi.org/10.1007/s00199-008-0374-4
https://doi.org/10.1007/s00199-008-0374-4
Publikováno v:
Electron. Commun. Probab.
In a recent paper by the same authors, we constructed a stationary 1-dependent 4-coloring of the integers that is invariant under permutations of the colors. This was the first stationary k-dependent q-coloring for any k and q. When the analogous con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68cb19084a1186a6de6115e96deead17
https://doi.org/10.1214/ecp.v20-4070
https://doi.org/10.1214/ecp.v20-4070
Autor:
Silke W. W. Rolles, Thomas M. Liggett
Publikováno v:
Stochastic Processes and their Applications, 113(1), 65-80. Elsevier
We consider an infinite interacting particle system in which individuals choose neighbors according to evolving sets of probabilities. If x chooses y at some time, the effect is to increase the probability that y chooses x at later times. We characte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::330f1eeec8a88f20a871ecf5939e10e6
https://research.tue.nl/en/publications/4aa7b2e7-1e41-4568-9edd-9461df8290e2
https://research.tue.nl/en/publications/4aa7b2e7-1e41-4568-9edd-9461df8290e2