Mihai D. Staic

activity

20052026

most citedRemarks on 2-dimensional HQFT's

4 citations · 14 across the 25 of their papers we have counts for

collaborators

29 papers

math.PR2026

Quadratic Perturbations of Markov Systems

Riddhi Pratim Ghosh, 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 $E_{d}^{(r)} = (Ω_{1}^{(r, d)}, Ω_{2}^{(r, d)}, \dots, Ω_{d}^{(r, d)})$ of the $r$ -uniform complete hypergraph $K_{r d}^{(r)}$ . We prove that…

math.CO2024

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

Matthew J. Fyfe, Steven R. Lippold, Mihai D. Staic +2

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 $r = 3$ …

math.RA2022

Existence of the Map $d e t^{S^{3}}$

Steven R. Lippold, Mihai D. Staic

In this paper we show the existence of a nontrivial linear map $d e t^{S^{3}} : V_{d}^{\otimes (3 3 d)} \to k$ with the property that $det^{S^3}(\otimes_{1\leq i<j<k\leq 3d}(v_{i,j,k})…

math.PR2022★ 1 cited

Conditional Probability Matrix and the $S^{2}$ -rank

Mihai D. Staic

Using the $d e t^{S^{2}}$ map from [5], we introduce the notion of $S^{2}$ -rank of a matrix of type $d \times \frac{s ( s - 1 )}{2}$ . As an application, we show that the conditional probabilit…

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​

The r-equilibrium Problem

Existence of the Map detS3

Conditional Probability Matrix and the S2-rank

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

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

The $r$ -equilibrium Problem

Existence of the Map $d e t^{S^{3}}$

Conditional Probability Matrix and the $S^{2}$ -rank