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math.PR2026
Multi-type -Wright--Fisher processes with polynomial drift: Bernstein duality, long-term behaviour, and simulation of moments
Sebastian Hummel
The -type -Wright--Fisher process with polynomial drift is a Lévy-type process on the -dimensional unit simplex whose generator entails a particular jump and diffusive…
q-bio.QM2026
Disconnectivity in Multistationarity Regions of Cascade of Goldbeter--Koshland Loops
Nidhi Kaihnsa, Kaizhang Wang
Dynamics of reaction networks is often modelled by parameterised polynomials and describing the set of parameters for which the system attains multiple positive equilibrium states…
math.AG2026
Algebraic Distance Optimization in Polyhedral Norms
Eliana Duarte, Nidhi Kaihnsa, Julia Lindberg +2
We consider the distance minimization problem to a real algebraic variety $X \subseteq \RR^n$ when the metric is induced by a polyhedral norm. Each point in the variety has a Voron…