Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Manjunath Krishnapur"'
Publikováno v:
Israel Journal of Mathematics. 242:291-324
For last passage percolation (LPP) on ℤ2 with exponential passage times, let Tn denote the passage time from (1, 1) to (n,n). We investigate the law of iterated logarithm of the sequence {Tn}n≥1; we show that $$\lim \,{\inf _{n \to \infty }}{{{T_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::356da7d9a384440cdef379b0db0255ae
https://doi.org/10.1007/s11856-021-2135-z
https://doi.org/10.1007/s11856-021-2135-z
Publikováno v:
Indian Journal of Pure and Applied Mathematics.
Consider a random word $X^n=(X_1,\ldots ,X_n)$ in an alphabet consisting of $4$ letters, with the letters viewed either as $A$, $U$, $G$ and $C$ (i.e., nucleotides in an RNA sequence) or $\alpha$, $\bar{\alpha}$, $\beta$ and $\bar{\beta}$ (i.e., gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::765de658baf1fe6b4b5e9decfdd5a02c
https://doi.org/10.1007/s13226-022-00240-x
https://doi.org/10.1007/s13226-022-00240-x
Autor:
Manjunath Krishnapur, Navin Kashyap
We show, by an explicit construction, that a mixture of univariate Gaussian densities with variance $1$ and means in $[-A,A]$ can have $\Omega(A^2)$ modes. This disproves a recent conjecture of Dytso, Yagli, Poor and Shamai \cite{DYPS20} who showed t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1934add66ee64233605c44c861b30b19
http://arxiv.org/abs/2005.01580
http://arxiv.org/abs/2005.01580
Publikováno v:
IndraStra Global.
The pattern maximum likelihood (PML) estimate, introduced by Orlitsky et al., is an estimate of the multiset of probabilities in an unknown probability distribution p, the estimate being obtained from n independent and identically distributed samples
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29eb9645d2108efef9075ac93212ab57
https://igi.indrastra.com/items/show/211805
https://igi.indrastra.com/items/show/211805
Autor:
M. Krishna, Manjunath Krishnapur
Publikováno v:
Proceedings of Indian National Science Academy, Vol 47, Iss 2 (2016)
Lower bounds for persistence probabilities of stationary Gaussian processes in discrete time are obtained under various conditions on the spectral measure of the process. Examples are given to show that the persistence probability can decay faster th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fc99dd813e4a17fe2aacec50d9a704b
In certain point processes, the configuration of points outside a bounded domain determines, with probability 1, certain statistical features of the points within the domain. This notion, called rigidity, was introduced in Ghosh and Peres (Duke Math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f21302712a84bd37211ab7abe68fdbb
http://arxiv.org/abs/1510.08814
http://arxiv.org/abs/1510.08814
We introduce a new method for studying universality of random matrices. Let T_n be the Jacobi matrix associated to the Dyson beta ensemble with uniformly convex polynomial potential. We show that after scaling, T_n converges to the Stochastic Airy op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bea74f4ef5d58e155288f511010bf924
Publikováno v:
Ann. Probab. 44, no. 5 (2016), 3357-3384
We study continuum percolation on certain negatively dependent point processes on $\mathbb{R}^{2}$. Specifically, we study the Ginibre ensemble and the planar Gaussian zero process, which are the two main natural models of translation invariant point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::653ac7a951975ce343de5fa70521d7ad
http://arxiv.org/abs/1211.2514
http://arxiv.org/abs/1211.2514
Given a metric space with a Borel probability measure, for each integer $N$ we obtain a probability distribution on $N\times N$ distance matrices by considering the distances between pairs of points in a sample consisting of $N$ points chosen indepen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2f658e983ea63e7fd248405b1072323