Tootfinder

This https://arxiv.org/abs/2412.08744 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Taylor conditions over finite fields
We extend Poonen's Bertini theorem over finite fields to Taylor conditions arising from locally free quotients of the sheaf of differentials on projective space. This is motivated by a result of Bilu and Howe in the motivic setting that allows for significantly more general Taylor conditions.

This https://arxiv.org/abs/2007.13121 has been replaced.
link: https://scholar.google.com/scholar?q=a

Efficient Approximation Schemes for Stochastic Probing and Selection-Stopping Problems
In this paper, we propose a general framework to design {efficient} polynomial time approximation schemes (EPTAS) for fundamental stochastic combinatorial optimization problems. Given an error parameter $ε>0$, such algorithmic schemes attain a $(1-ε)$-approximation in $t(ε)\cdot poly(|{\cal I}|)$ time, where $t(\cdot)$ is a function that depends only on $ε$ and $|{\cal I}|$ denotes the input length. Technically speaking, our approach relies on presenting tailor-made redu…

Competing Mechanisms at Vibrated Interfaces of Density-Stratified Fluids
Tianyi Chu, Benjamin Wilfong, Timothy Koehler, Ryan M. McMullen, Spencer H. Bryngelson
https://arxiv.org/abs/2505.23578

Competing Mechanisms at Vibrated Interfaces of Density-Stratified Fluids
Fluid--fluid interfacial instability and subsequent fluid mixing are ubiquitous in nature and engineering. Two hydrodynamic instabilities have long been thought to govern the interface behavior: the pressure gradient-driven long-wavelength Rayleigh--Taylor (RT) instability and resonance-induced short-wavelength Faraday instability. However, neither instability alone can explain the dynamics when both mechanisms act concurrently. Instead, we identify a previously unseen multi-modal instability e…

This https://arxiv.org/abs/2212.03159 has been replaced.
link: https://scholar.google.com/scholar?q=a

Optimal growth of upper frequently hypercyclic functions for some weighted Taylor shifts
We are interested in the optimal growth in terms of $L^p$-averages of hypercyclic and $\mathcal{U}$-frequently hypercyclic functions for some weighted Taylor shift operators acting on the space of analytic function on the unit disc. We unify the results obtained by considering intermediate notions of upper frequent hypercyclicity between the $\mathcal{U}$-frequent hypercyclicity and the hypercyclicity.