Tootfinder

Steady state representations for the harmonic process
Rouven Frassek
https://arxiv.org/abs/2507.20436 https://arxiv.org/pdf/2507.20436

Steady state representations for the harmonic process
In this note we discuss how the matrix product solution for the steady state of the harmonic process is obtained from the solutions already known in the literature, i.e. the closed-form expression derived in arXiv:2107.01720 and the nested integral form obtained in arXiv:2307.02793 and arXiv:2307.14975. Our results clarify the relation between the three representations of the steady state and provide the matrix product solution that has not been available for this model before.

The Optimality of a Nested Generalized Pairwise Group Testing Procedure
Yaakov Malinovsky, Viktor Skorniakov
https://arxiv.org/abs/2506.15797 https://

The Optimality of a Nested Generalized Pairwise Group Testing Procedure
We study the problem of identifying defective units in a finite population of \( n \) units, where each unit \( i \) is independently defective with known probability \( p_i \). This setting is referred to as the \emph{Generalized Group Testing Problem}. A testing procedure is called optimal if it minimizes the expected number of tests. It has been conjectured that, when all probabilities \( p_i \) lie within the interval \( \left[1 - \frac{1}{\sqrt{2}},\, \frac{3 - \sqrt{5}}{2} \right] \), the…

It's 2025 and I still can't forward declare nested classes.

Comparisons of Experiments in Moral Hazard Problems
Zizhe Xia
https://arxiv.org/abs/2507.12476 https://arxiv.org/pdf/2507.12476

Comparisons of Experiments in Moral Hazard Problems
I use a novel geometric approach to compare information in moral hazard problems. I study three nested geometric orders on information, namely the column space, the conic span, and the zonotope orders. The orders are defined by the inclusion of the column space, the conic span, and the zonotope of the matrices representing the experiments. For each order, I establish four equivalent characterizations, (i) inclusion of polyhedral sets of feasible state dependent utilities, (ii) matrix factorizat…

Nesting-driven ferromagnetism of itinerant electrons
Ya. I. Rodionov, A. V. Rozhkov, M. E. S. Beck, A. O. Sboychakov, K. I. Kugel, A. L. Rakhmanov
https://arxiv.org/abs/2507.11614

Nesting-driven ferromagnetism of itinerant electrons
We theoretically investigate a model with electrons and holes whose Fermi surfaces are perfectly nested. The fermions are assumed to be interacting, both with each other and with the lattice. To suppress inhomogeneous states, a sufficiently strong long-range Coulomb repulsion is included into the model. Using the mean field approximation, one can demonstrate that in the absence of doping, the ground state of such a model is insulating and possesses a density-wave order, either SDW, or CDW. Upon…

Adsorbate phase transitions on nanoclusters from nested sampling
Thanawitch Chatbipho, Ray Yang, Robert B. Wexler, Livia B. P\'artay
https://arxiv.org/abs/2506.01295

Adsorbate phase transitions on nanoclusters from nested sampling
Nested sampling was employed to investigate adsorption equilibria on the truncated-octahedral Lennard-Jones nanocluster LJ$_{38}$ while systematically varying adsorbate-surface well depth and Lennard-Jones size parameters. Evaluation of the canonical partition function over a wide temperature range identifies two successive phase transitions: (i) condensation of the gas phase onto the cluster surface at higher temperatures, and (ii) lateral rearrangement of the adsorbed layer at lower temperatu…

A noncommutative construction of families of biunitary matrices and application to subfactors
Keshab Chandra Bakshi, Satyajit Guin, Guruprasad
https://arxiv.org/abs/2506.14351

A noncommutative construction of families of biunitary matrices and application to subfactors
We introduce a construction that, given a pair (u,v) of complex Hadamard matrices of the same order, generates infinitely many biunitary matrices of varying (and distinct) orders. As a key application, this framework yields nested sequences of vertex model subfactors that are not a tower of downward basic construction. Notably, the construction is noncommutative: interchanging the matrices (i.e., considering (v,u) instead of (u,v)) can lead to non-isomorphic subfactors. Focusing on the Hadamard…

This https://arxiv.org/abs/2206.10164 has been replaced.
link: https://scholar.google.com/scholar?q=a

Efficient scheduling in redundancy systems with general service times
We characterize the impact of scheduling policies on the mean response time in nested systems with cancel-on-complete redundancy. We consider not only redundancy-oblivious policies, such as FCFS and ROS, but also redundancy-aware policies of the form $Π$ 1 -- $Π$ 2 , where $Π$ 1 discriminates among job classes (e.g., least-redundant-first (LRF), most-redundantfirst (MRF)) and $Π$ 2 discriminates among jobs of the same class. Assuming that jobs have independent and identically distributed (i…

Do Temporary Workers Face Higher Wage Markdowns? Evidence from India's Automotive Sector
Davide Luparello
https://arxiv.org/abs/2507.08222 https://

Do Temporary Workers Face Higher Wage Markdowns? Evidence from India's Automotive Sector
Are temporary workers subject to different wage markdowns than permanent workers? This paper examines productivity, output markups, and wage markdowns in India's automotive sector during 2000--2020. I develop a model integrating CES production, nested logit labor supply, and differentiated labor market conduct: Nash-Bertrand wage setting for temporary workers versus Nash bargaining for unionized permanent workers. Results reveal declining output markups as marginal costs outpace prices through …

Poncelet triangles: two harmonious loci and two attractive envelopes
Ronaldo A. Garcia, Mark Helman, Dan Reznik
https://arxiv.org/abs/2508.02368 https://ar…

Poncelet triangles: two harmonious loci and two attractive envelopes
We prove that over a Poncelet triangle family interscribed between two nested ellipses $\E,\E_c$, (i) the locus of the orthocenter is not only a conic, but it is axis-aligned and homothetic to a $90^o$-rotated copy of $\E$, and (ii) the locus of the isogonal conjugate of a fixed point $P$ is also a conic (the expected degree was four); a parabola (resp. line) if $P$ is on the (degree-four) envelope of the circumcircle (resp. on $\E$). We also show that the envelope of both the circumcircle and …