Yitzchak Shmalo

activity

20172026

most citedThe K-Theoretic Bulk-Boundary Principle for Dynamically Patterned Resonators

24 citations · 27 across the 17 of their papers we have counts for

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6 papers · 1 filter

math.PR2026

Finite-state counterexamples to Ross's second queueing conjecture

Yitzchak Shmalo

We construct finite-state Markov arrival-rate processes for which faster modulation increases the mean stationary workload of a stable single-server queue, disproving the universal…

math.PR2026

Entropy and singularity of spectral and pivotal sets in planar percolation

Yitzchak Shmalo

The spectral sample and pivotal set of a percolation crossing have the same one- and two-coordinate inclusion probabilities under the uniform product measure. We prove that both Sh…

math.PR2026

Mesoscopic Rectangular Spikes under Subspace Local Laws: Outlier Values and Singular Subspaces

Yitzchak Shmalo

A rectangular data matrix is often modelled as noise plus a signal of low rank. When that rank is fixed the picture is classical: a signal direction must exceed a critical strength…

math.PR2026

Extreme least singular values of random row submatrices with bounded-density subgaussian entries

Xiufan Yang, Shu Wen, Yitzchak Shmalo

Let $ξ$ be a centered real subgaussian random variable with positive variance and a bounded Lebesgue density, and let $A_{m} \in R^{N_{m} \times m}$ have independent entries dist…

math.PR2026

The storage capacity of the Ising perceptron: verification of the outstanding numerical conditions

Yitzchak Shmalo

Krauth and Mézard predicted in 1989 that the storage capacity of the Ising perceptron at zero margin is an explicit constant $α_{⋆} \approx 0.8330786$ . Let $M_{N}$ be the largest num…

math.PR2026

Extreme least singular values of Gaussian row submatrices and a phase retrieval stability problem

Yitzchak Shmalo

Let $F \in {R, C}$ and $d_{F} = dim_{R} F$ . If $A_{m} \in F^{N_{m} \times m}$ has independent standard Gaussian entries and $N_m/m\toγ…