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pro vyhledávání: '"Jim Pitman"'
Leaf development is crucial to establish the photosynthetic competency of plants. It is a process that requires coordinated changes in cell number and differentiation, transcriptomes, metabolomes and physiology. However, despite the importance of lea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e343e474ce2d12b1890bade3082074e0
https://doi.org/10.1101/2021.12.01.470706
https://doi.org/10.1101/2021.12.01.470706
Autor:
Mehdi Ouaki, Jim Pitman
The purpose of this paper is to highlight some hidden Markovian structure of the concave majorant of the Brownian motion. Several distributional identities are implied by the joint law of a standard one-dimensional Brownian motion $B$ and its almost
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f42372e445c5664b3e253151c5a1f38a
Autor:
Jim Pitman, Wenpin Tang
This paper is concerned with the limit theory of the extreme order statistics derived from random walks. We establish the joint convergence of the order statistics near the minimum of a random walk in terms of the Feller chains. Detailed descriptions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31ee526db95c8e19c20af34fd01aa578
http://arxiv.org/abs/2007.13991
http://arxiv.org/abs/2007.13991
Autor:
Joseph Najnudel, Jim Pitman
Publikováno v:
Electron. Commun. Probab.
Feller (1945) provided a coupling between the counts of cycles of various sizes in a uniform random permutation of $[n]$ and the spacings between successes in a sequence of $n$ independent Bernoulli trials with success probability $1/n$ at the $n$th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71934bb4beb572bbb536960481543ef5
https://projecteuclid.org/euclid.ecp/1601604028
https://projecteuclid.org/euclid.ecp/1601604028
Publikováno v:
Probability Theory and Related Fields. 172:1-29
A hierarchy on a set S, also called a total partition of S, is a collection $$\mathcal {H}$$ of subsets of S such that $$S \in \mathcal {H}$$ , each singleton subset of S belongs to $$\mathcal {H}$$ , and if $$A, B \in \mathcal {H}$$ then $$A \cap B$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6eaf259c688c87eadd04ad8defda107b
https://doi.org/10.1007/s00440-017-0799-4
https://doi.org/10.1007/s00440-017-0799-4
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2019, 371 (8), pp.5731-5755. ⟨10.1090/tran/7516⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2019, 371 (8), pp.5731-5755. ⟨10.1090/tran/7516⟩
For the random interval partition of $[0,1]$ generated by the uniform stick-breaking scheme known as GEM$(1)$, let $u_k$ be the probability that the first $k$ intervals created by the stick-breaking scheme are also the first $k$ intervals to be disco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbea0a761dc399b5f1fb458c7e06d980
https://hal.archives-ouvertes.fr/hal-03208461
https://hal.archives-ouvertes.fr/hal-03208461
Autor:
Wenpin Tang, Jim Pitman
Publikováno v:
Ann. Probab. 47, no. 3 (2019), 1378-1416
Motivated by recent studies of large Mallows$(q)$ permutations, we propose a class of random permutations of $\mathbb{N}_{+}$ and of $\mathbb{Z}$, called regenerative permutations. Many previous results of the limiting Mallows$(q)$ permutations are r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4477aefbc213af22b0f3aae8ae9c7cf
https://doi.org/10.1214/18-aop1286
https://doi.org/10.1214/18-aop1286
Autor:
Jim Pitman, E. J. G. Pitman
Publikováno v:
Advances in Applied Probability. 48:261-282
The explicit form for the characteristic function of a stable distribution on the line is derived analytically by solving the associated functional equation and applying theory of regular variation, without appeal to the general L\'evy-Khintchine int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d847c8c92051de15389794d64fc9d9b
https://doi.org/10.1017/apr.2016.55
https://doi.org/10.1017/apr.2016.55
Publikováno v:
Electron. J. Statist. 13, no. 2 (2019), 3243-3253
It is well known that the isotonic least squares estimator is characterized as the derivative of the greatest convex minorant of a random walk. Provided the walk has exchangeable increments, we prove that the slopes of the greatest convex minorant ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ef341d9319575b945034ef911579172
http://arxiv.org/abs/1812.04249
http://arxiv.org/abs/1812.04249
Autor:
Jim Pitman, Wenpin Tang
Publikováno v:
Bernoulli 24, no. 3 (2018), 1942-1972
In this paper, we aim to provide probabilistic and combinatorial insights into tree formulas for the Green function and hitting probabilities of Markov chains on a finite state space. These tree formulas are closely related to loop-erased random walk
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d435e2555291150cf9554a471aaaef8
https://projecteuclid.org/euclid.bj/1517540464
https://projecteuclid.org/euclid.bj/1517540464