Results 31 to 40 of about 1,638,072 (98)
The probability of unusually large components in the near-critical Erdős–Rényi graph [PDF]
Advances in Applied Probability, 2016 The largest components of the critical Erdős–Rényi graph, G(n, p) with p = 1 / n, have size of order n 2/3 with high probability. We give detailed asymptotics for the probability that there is an unusually large component, i.e. of size an 2/3 for large a.
Matthew I. Roberts
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, 2007 Corrections and acknowledgment for ``Local limit theory and large deviations for supercritical branching processes'' [math.PR/0407059]Comment: Published at http://dx.doi.org/10.1214/105051606000000574 in the Annals of Applied Probability (http://www ...
Ney, P. E., Vidyashankar, Anand N.
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The Loewner equation: maps and shapes
, 2003 In the last few years, new insights have permitted unexpected progress in the study of fractal shapes in two dimensions. A new approach, called Schramm-Loewner evolution, or SLE, has arisen through analytic function theory and probability theory, and ...
Gruzberg, Ilya A., Kadanoff, Leo P.
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The Probability of Non-Existence of a Subgraph in a Moderately Sparse Random Graph [PDF]
Combinatorics, probability & computing, 2016 We develop a general procedure that finds recursions for statistics counting isomorphic copies of a graph G0 in the common random graph models ${\cal G}$(n,m) and ${\cal G}$(n,p).
Dudley Stark, N. Wormald
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Uniform decomposition of probability measures: quantization, clustering and rate of convergence
Journal of Applied Probability, 2018 The study of finite approximations of probability measures has a long history. In Xu and Berger (2017), the authors focused on constrained finite approximations and, in particular, uniform ones in dimension d=1. In the present paper we give an elementary
Julien Chevallier
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The Length of an SLE - Monte Carlo Studies
, 2007 The scaling limits of a variety of critical two-dimensional lattice models are equal to the Schramm-Loewner evolution (SLE) for a suitable value of the parameter kappa.
G. Lawler +15 more
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Weak Convergence of Probability Measures [PDF]
arXiv, 2020 Lecture notes based on the book Convergence of Probability Measures by Patrick Billingsley.
arxiv
Correction. Central limit theorems for additive functionals of the simple exclusion process [PDF]
Annals of Probability 2006, Vol. 34, No. 1, 427-428, 2006 Correction to Annals of Probability 28 (2000) 277--302 [doi:10.1214/aop/1019160120].
arxiv +1 more source
Transforming fixed-length self-avoiding walks into radial SLE_8/3
, 2011 We conjecture a relationship between the scaling limit of the fixed-length ensemble of self-avoiding walks in the upper half plane and radial SLE with kappa=8/3 in this half plane from 0 to i.
B. Dyhr +20 more
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The survival probability of a critical multi-type branching process in i.i.d. random environment
Annals of Probability, 2018 Conditioned on the generating functions of offspring distribution, we study the asymp-totic behaviour of the probability of non-extinction of a critical multi-type Galton-Watson process in i.i.d.
E. L. Page, M. Peigné, C. Pham
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