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20 papers · 1 filter
The Lee--Gauduchon cone on complex manifolds
Liviu Ornea, Misha Verbitsky
Let be a compact complex -manifold. A Gauduchon metric is a Hermitian metric whose fundamental 2-form satisfies the equation . Paul Gauduchon has proven…
Numerically flat foliations and holomorphic Poisson geometry
Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1
We investigate the structure of smooth holomorphic foliations with numerically flat tangent bundles on compact Kähler manifolds. Extending earlier results on non-uniruled projectiv…
Perturbed lattice crosses and Heisenberg uniqueness pairs
Danylo Radchenko, João P. G. Ramos
This work focuses on two questions raised by H. Hedenmalm and A. Montes-Rodríguez on Heisenberg Uniqueness Pairs for perturbed lattice crosses. The first of them deals with a compl…
Locality approach to the bootstrap percolation paradox
Ivailo Hartarsky, Augusto Teixeira
We revisit the Bootstrap Percolation model, leveraging recent mathematical advances linking it with its local counterpart. This new perspective resolves, for the first time, histor…
RG analysis of spontaneous stochasticity on a fractal lattice: stability and bifurcations
Alexei A. Mailybaev
In this paper, we study the stability and bifurcations of spontaneous stochasticity using an approach reminiscent of the Feigenbaum renormalization group (RG). We consider dynamica…
Random Markov property for random walks in random environments
Julien Allasia, Rangel Baldasso, Oriane Blondel +1
We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ulti…