Steklov Mathematical Institute

most citedPhenomenon of a stronger trapping behaviour in

I^

-type quantum systems with symmetry

6 citations

9 papers

math.DS2026

Local finiteness of the number of reflections in semi-dispersing Minkowski billiards

Roman Barinov, Sergei Ivanov

We prove that in a semi-dispersing Minkowski billiard, that is a billiard in the complement of a collection of convex sets in a normed space with a smooth strictly convex norm, any…

cs.CC2026

If Edge Coloring is Hard under SETH, then SETH is False

Alexander S. Kulikov, Ivan Mihajlin

The Edge Coloring problem is notoriously hard: it is still unknown whether it can be solved in time $2^{o (n^{2})}$ (let alone $2^{O (n)}$ ), where $n$ is the number of nodes of the inp…

math.CO2026

Frozen-corner enumeration of Alternating Sign Matrices

Filippo Colomo, Andrei G. Pronko

An Alternating Sign Matrix (ASM) is a square matrix with entries in ${0, 1, - 1}$ , and such that: $i)$ in each row and columns, nonzero entries alternate in sign; $ii)$ for any give…

math.AG2026★ 3 cited

Parametric equations of plane sextic curves with a maximal set of double points

Stean Yu. Orevkov

We give explicit parametric equations for all irreducible plane projective sextic curves which have at most double points and whose total Milnor number is maximal (is equal to 19).…

quant-ph2026★ 6 cited

Phenomenon of a stronger trapping behaviour in $I^$ -type quantum systems with symmetry

Boris Volkov, Anastasia Myachkova, Alexander Pechen

$I^$ , $V$ , $I^$ (ladder), and other three-level quantum systems with one forbidden transition (referred here as $I^$ -type systems) play an important role in quantum physics. Variou…

quant-ph2026

Diverse efficiency of observable optimization for four-level quantum systems with higher-order traps

Alexander Pechen, Boris Volkov

In this work, we perform an analytical and numerical analysis of quantum landscapes for controlling special four-level quantum systems for which we prove that the null control is a…