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20202026
most citedUniform convergence of solutions to stochastic hybrid models of gene regulatory networks

3 citations · 5 across the 8 of their papers we have counts for

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math.FA2026

On the Cyclicity Conjecture

Alexander Dobrick

We prove that the peripheral spectrum of every positive operator on a complex Banach lattice is cyclic, thereby resolving the cyclicity conjecture without additional growth assumpt…

math.FA2026

Individual and Uniform Eventual Positivity of Self-Adjoint Semigroups

Alexander Dobrick

We construct a real self-adjoint semigroup on an -space which is individually eventually strongly positive with respect to a strictly positive vector, but whose operators f…

math.FA2026

Banach's principle in vector lattices

Alexander Dobrick

We develop an abstract Banach principle in vector lattices and apply it to obtain lattice-theoretic versions of the individual and maximal ergodic theorems, without recourse to any…