4 problems

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Conjecture on geometric matching simplifying exponential-decay arguments
The paper considers homogeneously scattered observation points and a matching technique based on Hall's marriage theorem that relates them to points arranged on a regular lattice.…
Conjectureopenexponential-decay gaussian-processes geometric-combinatoricsarXiv posted 2 days ago
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Exponential estimates conjecture for the contact process in dynamic percolation
Exponential estimates conjecture. If
Conjectureopencontact-process dynamic-percolation exponential-decayarXiv posted 2 days ago
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Exponential radius-tail conjecture for finite supercritical clusters
Let $G=(V,E)$ be an infinite, connected, locally finite, transitive graph, let $K_v$ be the cluster of $v$ , and let $B(v,n)$ be the graph-distance ball of radius $n$ around $v$ . Ex…
Conjectureopencluster-radius exponential-decay percolationarXiv posted 2 days ago
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The exponential connectivity decay conjecture for nonamenable graphs
Exponential connectivity decay conjecture.
Conjectureopenexponential-decay nonamenable-graphs percolationarXiv posted 2 days ago

Conjecture on geometric matching simplifying exponential-decay arguments