The Scaling Limit of the Interface of the Continuous - Space Symbiotic Branching Model
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چکیده
The scaling limit of the interface of the continuous-space symbiotic branching model JOCHEN BLATH, MATTHIAS HAMMER AND MARCEL ORTGIESE 807 A noncommutative martingale convexity inequality . . . . . . . ÉRIC RICARD AND QUANHUA XU 867 Stuck walks: A conjecture of Erschler, Tóth and Werner . . . . . . . . . . . . . . . . . . . . . DANIEL KIOUS 883 Generalization of the Nualart–Peccati criterion . . . . . . . . . . . . . . . . . . . . . . . . EHSAN AZMOODEH, DOMINIQUE MALICET, GUILLAUME MIJOULE AND GUILLAUME POLY 924 On the probability that self-avoiding walk ends at a given point . . . . . HUGO DUMINIL-COPIN, ALEXANDER GLAZMAN, ALAN HAMMOND AND IOAN MANOLESCU 955 Extremes of a class of nonhomogeneous Gaussian random fields KRZYSZTOF DȨBICKI, ENKELEJD HASHORVA AND LANPENG JI 984 Extreme nesting in the conformal loop ensemble JASON MILLER, SAMUEL S. WATSON AND DAVID B. WILSON 1013 Noise-stability and central limit theorems for effective resistance of random electric networks RAPHAËL ROSSIGNOL 1053 Zero-sum repeated games: Counterexamples to the existence of the asymptotic value and the conjecture maxmin = limvn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . BRUNO ZILIOTTO 1107 Nonintersecting Brownian motions on the unit circle . . . . . KARL LIECHTY AND DONG WANG 1134 Viscosity solutions of fully nonlinear parabolic path dependent PDEs: Part I IBRAHIM EKREN, NIZAR TOUZI AND JIANFENG ZHANG 1212 Compensated fragmentation processes and limits of dilated fragmentations . . . . JEAN BERTOIN 1254 A Poisson allocation of optimal tail . . . . . . . . . . . . . . . . . . ROLAND MARKÓ AND ÁDÁM TIMÁR 1285 Central limit theorem for linear groups . . . . . . . YVES BENOIST AND JEAN-FRANÇOIS QUINT 1308 A stochastic target approach to Ricci flow on surfaces . . . . . . . . . . . . . . . . . . . . ROBERT W. NEEL AND IONEL POPESCU 1341 Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion HUBERT LACOIN 1426 Intermittency for the wave and heat equations with fractional noise in time RALUCA M. BALAN AND DANIEL CONUS 1488 Spatial asymptotics for the parabolic Anderson models with generalized time–space Gaussian noise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIA CHEN 1535
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Properties of the interface of the symbiotic branching model
The symbiotic branching model describes the evolution of two interacting populations and if started with complementary Heaviside functions, the interface where both populations are present remains compact. In this paper, we show tightness of the diffusively rescaled solutions and thus provide a first step towards a scaling limit for the interface. The crucial estimate involves a mixed fourth mo...
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