Tootfinder

The boundary control approach to inverse spectral theory
S. A. Avdonin, V. S. Mikhaylov
https://arxiv.org/abs/2505.23329 https://arxi…

The boundary control approach to inverse spectral theory
We establish connections between different approaches to inverse spectral problems: the classical Gelfand--Levitan theory, the Krein method, the Simon theory, the approach proposed by Remling and the Boundary Control method. We show that the Boundary Control approach provides simple and physically motivated proofs of the central results of other theories. We demonstrate also the connections between the dynamical and spectral data and derive the local version of the classical Gelfand--Levitan eq…

Properties of zero-determinant strategies in multichannel games
Masahiko Ueda
https://arxiv.org/abs/2505.21952 https://arxiv.org/pdf/…

Properties of zero-determinant strategies in multichannel games
Controlling payoffs in repeated games is one of the important topics in control theory of multi-agent systems. Recently proposed zero-determinant strategies enable players to unilaterally enforce linear relations between payoffs. Furthermore, based on the mathematics of zero-determinant strategies, regional payoff control, in which payoffs are enforced into some feasible regions, has been discovered in social dilemma situations. More recently, theory of payoff control was extended to multichann…

This https://arxiv.org/abs/2505.22094 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

ReinFlow: Fine-tuning Flow Matching Policy with Online Reinforcement Learning
We propose ReinFlow, a simple yet effective online reinforcement learning (RL) framework that fine-tunes a family of flow matching policies for continuous robotic control. Derived from rigorous RL theory, ReinFlow injects learnable noise into a flow policy's deterministic path, converting the flow into a discrete-time Markov Process for exact and straightforward likelihood computation. This conversion facilitates exploration and ensures training stability, enabling ReinFlow to fine-tune diverse…

The boundary control approach to the Titchmarsh-Weyl $m-$function
S. A. Avdonin, V. S. Mikhaylov, A. V. Rybkin
https://arxiv.org/abs/2505.23332 https://

The boundary control approach to the Titchmarsh-Weyl $m-$function
We link the Boundary Control Theory and the Titchmarsh-Weyl Theory. This provides a natural interpretation of the $A-$amplitude due to Simon and yields a new efficient method to evaluate the Titchmarsh-Weyl $m-$function associated with the Schrödinger operator $H=-\partial _{x}^{2}+q\left( x\right) $ on $L_{2}\left( 0,\infty \right) $ with Dirichlet boundary condition at $x=0.$

This https://arxiv.org/abs/2311.17270 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qfi…

Exponential Utility Maximization in a Continuous Time Gaussian Framework
In this work we study the continuous time exponential utility maximization problem in the framework of an investor who is informed about the price changes with a delay. This leads to a non-Markovian stochastic control problem. In the case where the risky asset is given by a Gaussian process (with some additional properties) we establish a solution for the optimal control and the corresponding value. Our approach is purely probabilistic and is based on the theory for Radon-Nikodym derivatives of…

This https://arxiv.org/abs/2306.11965 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Symmetry's Edge in Cortical Dynamics: Multiscale Dynamics of Ensemble Excitation and Inhibition
Creating a quantitative theory for the cortex presents challenges and raises questions. What are the significant scales--micro, meso, or macroscopic? What are the interactions--pairwise, higher order, or mean-field? And what control parameters are relevant--noisy, dissipative, or emergent? We suggest an approach inspired by advances in understanding matter. This involves identifying invariances in neuron ensemble dynamics, searching for order parameters connecting key degrees of freedom and d…