3 papers
math.PR2026
Random permutations from -Demazure products
Mikhail Tikhonov
We study the -deformation of the Demazure product model from arXiv:2407.21653. Consider the longest element in written as a reduced word in simple transpositions. In…
q-bio.PE2025
Emergent predictability in microbial ecosystems
Jacob Moran, Lucas C. Graham, Mikhail Tikhonov
Microbial ecosystems exhibit a surprising amount of functionally relevant diversity at all levels of taxonomic resolution, presenting a significant challenge for most modeling fram…
q-bio.PE2024
Energy-ordered resource stratification as an agnostic signature of life
Akshit Goyal, Mikhail Tikhonov
The search for extraterrestrial life hinges on identifying biosignatures, often focusing on gaseous metabolic byproducts as indicators. However, most such biosignatures require ass…