Results 31 to 40 of about 3,304 (74)
On level line fluctuations of SOS surfaces above a wall
Forum of Mathematics, SigmaWe study the low-temperature $(2+1)$ D solid-on-solid model on with zero boundary conditions and nonnegative heights (a floor at height $0$ ). Caputo et al. (2016) established that this random surface typically admits either $\mathfrak h
Patrizio Caddeo +2 more
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On the Eigenspaces of Lamplighter Random Walks and Percolation Clusters on Graphs
, 2008 We show that the Plancherel measure of the lamplighter random walk on a graph coincides with the expected spectral measure of the absorbing random walk on the Bernoulli percolation clusters.
Lehner, Franz
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No directed fractal percolation in zero area
, 1997 We show that fractal (or "Mandelbrot") percolation in two dimensions produces a set containing no directed paths, when the set produced has zero area. This improves a similar result by the first author in the case of constant retention probabilities to ...
B. Duplantier +8 more
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Critical case stochastic phylogenetic tree model via the Laplace transform
, 2013 Birth-and-death models are now a common mathematical tool to describe branching patterns observed in real-world phylogenetic trees. Liggett and Schinazi (2009) is one such example.
Bartoszek, Krzysztof, Krzeminski, Michal
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Hierarchical pinning model: low disorder relevance in the $b=s$ case [PDF]
, 2014 We consider a hierarchical pinning model introduced by B.Derrida, V.Hakim and J.Vannimenus which undergoes a localization/delocalization phase transition. This model depends on two parameters $b$ and $s$.
Sohier, Julien
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Price systems for markets with transaction costs and control problems for some finance problems
, 2006 In a market with transaction costs, the price of a derivative can be expressed in terms of (preconsistent) price systems (after Kusuoka (1995)). In this paper, we consider a market with binomial model for stock price and discuss how to generate the price
Chiang, Tzuu-Shuh +2 more
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Free fermionic probability theory and k-theoretic schubert calculus
Forum of Mathematics, SigmaFor each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao +2 more
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Four universal growth regimes in degree-dependent first passage percolation on spatial random graphs
Forum of Mathematics, SigmaOne-dependent first passage percolation is a spreading process on a graph where the transmission time through each edge depends on the direct surroundings of the edge. In particular, the classical i.i.d. transmission time $L_{xy}$ is multiplied by
Júlia Komjáthy +3 more
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The Incipient Giant Component in Bond Percolation on General Finite Weighted Graphs
, 2016 On a large finite connected graph let edges $e$ become "open" at independent random Exponential times of arbitrary rates $w_e$. Under minimal assumptions, the time at which a giant component starts to emerge is weakly concentrated around its ...
Aldous, David J.
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Spatial Multiresolution Cluster Detection Method [PDF]
, 2012 A novel multi-resolution cluster detection (MCD) method is proposed to identify irregularly shaped clusters in space. Multi-scale test statistic on a single cell is derived based on likelihood ratio statistic for Bernoulli sequence, Poisson sequence and ...
Zhang, Lingsong +2 more
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