Mihai D. Staic

activity

20242026

collaborators

4 papers

math.PR2026

Quadratic Perturbations of Markov Systems

Mihai D. Staic, Sofia Stancu

In this paper we study a quadratic dynamical system that is a perturbation of a system of Markov processes. We give necessary and sufficient conditions for such a perturbation to b…

math.CO2025

An acyclic $d$ -partition of the $r$ -uniform complete hypergraph $K_{r d}^{(r)}$

Ayako Carter, Eric Montoya, Mihai D. Staic

In this paper we introduce a $d$ -partition $E_{d}^{(r)} = (I^c ◯_{1}^{(r, d)}, I^c ◯_{2}^{(r, d)}, \dots, I^c ◯_{d}^{(r, d)})$ of the $r$ -uniform complete hypergraph $K_{r d}^{(r)}$ . We prove th…

math.CO2024

Twin-star hypothesis and cycle-free $d$ -partitions of $K_{2 d}$ ]{Twin-star hypothesis and cycle-free $d$ -partitions of $K_{2 d}$

Matthew J. Fyfe, Steven R. Lippold, Mihai D. Staic +1

In this paper we study an equivalence relation defined on the set of cycle-free $d$ -partitions of the complete graph $K_{2 d}$ . We discuss a conjecture which states that this equiva…

math.RA2024

The $r$ -equilibrium Problem

Mihai D. Staic

In this paper we introduce the $r$ -equilibrium problem and discuss connections to the map $d e t^{S^{r}}$ . The case $r = 2$ is an application of Newton's third law of motion, while $r = 3$ …

Quadratic Perturbations of Markov Systems

An acyclic d-partition of the r-uniform complete hypergraph Krd(r)​

Twin-star hypothesis and cycle-free d-partitions of K2d​ ]{Twin-star hypothesis and cycle-free d-partitions of K2d​

The r-equilibrium Problem

An acyclic $d$ -partition of the $r$ -uniform complete hypergraph $K_{r d}^{(r)}$

Twin-star hypothesis and cycle-free $d$ -partitions of $K_{2 d}$ ]{Twin-star hypothesis and cycle-free $d$ -partitions of $K_{2 d}$

The $r$ -equilibrium Problem