Tootfinder

A note on last passage percolation and Schur processes
Evgeni Dimitrov, Zongrui Yang
https://arxiv.org/abs/2510.04713 https://arxiv.org/pdf/2510.04713

A note on last passage percolation and Schur processes
In this note we provide a short proof of the distributional equality between last passage percolation with geometric weights along a general down-right path and Schur processes. We do this in both the full-space and half-space settings, and for general parameters. The main inputs for our arguments are generalizations of the Robinson-Schensted-Knuth correspondence and Greene's theorem due to Krattenthaler, which are based on Fomin's growth diagrams.

AdS$_7$ Black Holes and Holography
Nikolay Bobev, Marina David, Vasil Dimitrov, Junho Hong
https://arxiv.org/abs/2509.02833 https://arxiv.org/pdf/2509.0283…

AdS$_7$ Black Holes and Holography
We present a detailed study of the regularized on-shell action of the recently found asymptotically AdS$_7$ black hole supergravity solution with three angular momenta and two electric charges. We show that a particular choice of finite counterterms in the holographic renormalization procedure yields a result for the on-shell action of the supersymmetric limit of the black hole solution which is in perfect agreement with the large $N$ limit of the superconformal index of the dual 6d $\mathcal{N…

On $\boldsymbol{\psi}$-quadratic $k$-tuples and their generalizations
S. I. Dimitrov
https://arxiv.org/abs/2509.18291 https://arxiv.org/pdf/2509.18291

Photometry with the new 1.5-meter telescope of the Rozhen Observatory
E. Semkov, N. Petrov, M. Minev, M. Moyseev, D. Marchev, E. Ovcharov, J. Marti, I. E. Dimitrova, R. K. Zamanov
https://arxiv.org/abs/2508.18752

Photometry with the new 1.5-meter telescope of the Rozhen Observatory
The new 1.5~m telescope (AZ1500) is operating at the National Astronomical Observatory Rozhen, Bulgaria. This paper gives an overview of the telescope and presents a snapshot of the current performance. Science observations are under way, and we give brief highlights from a number of programs that have been enabled.

Room-temperature anisotropic in-plane spin dynamics in graphene induced by PdSe$_2$ proximity
Juan F. Sierra, Josef Sv\v{e}tl\'ik, Williams Savero Torres, Lorenzo Camosi, Franz Herling, Thomas Guillet, Kai Xu, Juan Sebasti\'an Reparaz, Vera Marinova, Dimitre Dimitrov, Sergio O. Valenzuela
https://arxiv.org/abs/2508.18002

Room-temperature anisotropic in-plane spin dynamics in graphene induced by PdSe$_2$ proximity
Van der Waals heterostructures offer a versatile platform for tailoring electrical, magnetic, optical, and spin transport properties of materials through proximity effects. Notably, hexagonal transition metal dichalcogenides have been shown to induce valley-Zeeman spin-orbit coupling (SOC) in graphene, resulting in significant spin lifetime anisotropy between in-plane and out-of-plane spin orientations. However, in-plane lifetimes remain isotropic due to the inherent threefold symmetry of the h…

Cross-Resonant Gates in Hybrid Fluxonium-Transmon Systems
Nikola D. Dimitrov, Chen Wang, Vladimir E. Manucharyan, Maxim G. Vavilov
https://arxiv.org/abs/2509.07935 https://

Cross-Resonant Gates in Hybrid Fluxonium-Transmon Systems
We propose a scalable fluxonium-transmon-fluxonium (FTF) system that utilizes a central transmon to mediate high-fidelity gates and parity checks between two fluxonium qubits without the need for strong non-local interactions. This approach suppresses unwanted long-range interactions, which is critical for developing larger quantum processors. First, we analyze the performance of cross-resonance (CR) CNOT gates between a fluxonium and a transmon. We show that even in the presence of a spectator…

Integer-valued polynomials satisfying growth constraints
Avner Kiro, Alon Nishry
https://arxiv.org/abs/2508.17335 https://arxiv.org/pdf/2508.17335

Integer-valued polynomials satisfying growth constraints
We consider polynomials which take integer values on the integers (IVPs), and satisfy an additional growth condition on the natural numbers. Elkies and Speyer, answering a question by Dimitrov, showed there is a critical exponential growth threshold, such that there are infinitely many IVPs with growth above the threshold and finitely many IVPs below that threshold (of arbitrary degree). In this paper, we give more refined estimates for the number of IVPs having exponential growth thresholds. I…

Asymptotics of Jack measures with homogeneous specializations
Evgeni Dimitrov, Xiaohan Gao, Andy Gu, Ryan Niedernhofer
https://arxiv.org/abs/2509.09814 https://

Asymptotics of Jack measures with homogeneous specializations
We consider Jack measures on partitions with homogeneous defining specializations. For each of the six distinct classes of measures obtained this way we prove a global law of large numbers with an explicit limiting particle density. We also demonstrate for one of these classes how to obtain a global central limit theorem, global and edge large deviation principles, and edge universality using the results of the paper. Our argument is based on explicitly evaluating Jack symmetric functions at ho…

Parahoric level $p$-adic $L$-functions for automorphic representations of $\operatorname{GL}_{2n}$ with Shalika models
Mladen Dimitrov, Andrei Jorza
https://arxiv.org/abs/2508.08176

Parahoric level $p$-adic $L$-functions for automorphic representations of $\operatorname{GL}_{2n}$ with Shalika models
We construct $p$-adic $L$-functions for regularly refined cuspidal automorphic representations of symplectic type on $\operatorname{GL}_{2n}$ over totally real fields, which are parahoric spherical at every finite place. Furthermore, we prove etaleness of the parabolic eigenvariety at such points and construct $p$-adic $L$-functions in families. The novel local ingredients are the construction of improved Ash--Ginzburg Shalika functionals and production of Friedberg--Jacquet test vectors relati…

Replaced article(s) found for math.PR. https://arxiv.org/list/math.PR/new
[1/1]:
- Maximal free energy of the log-gamma polymer
Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov