Stochastic processes and statistical mechanics

This paper introduces MonteCarloJackknife.jl, an open-source Julia package that implements Monte Carlo approximation of delete-d jackknife estimators. Rather than exhaustively enumerating all deletion subsets, the package randomly samples a user-specified number of subsets, computes the parameter of interest on these…

This paper introduces MonteCarloJackknife.jl, an open-source Julia package that implements Monte Carlo approximation of delete-d jackknife estimators. Rather than exhaustively enumerating all deletion subsets, the package randomly samples a user-specified number of subsets, computes the parameter of interest on these…

In asymmetric (quasi-metric) spaces, the forward closed balls B⁺(x, d(x,y)) and B⁺(y, d(y,x)) centered at distinct points x,y with their respective critical radii generally differ.We study pairs where these balls coincide, termed critical asymmetric ball twins (CABT), and prove complete characterization theorems for f…

In asymmetric (quasi-metric) spaces, the forward closed balls B⁺(x, d(x,y)) and B⁺(y, d(y,x)) centered at distinct points x,y with their respective critical radii generally differ.We study pairs where these balls coincide, termed critical asymmetric ball twins (CABT), and prove complete characterization theorems for f…

In this paper, we implement a rate indicator function featuring an almost periodic component to capture seasonal trends within the Ricker model, which represents a mutualistic framework. For the updated model incorporating this function, we derived parameters that guarantee the uniqueness of the solution and confirmed…

• SEDA İĞRET ARAZ

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• HASAN AKIN

We present the first measurements of the forward and midrapidity $η$-meson cross sections from $p$$+$$p$ collisions at $\sqrt{s}=500$ and $510$~GeV, respectively. We also report the midrapidity $η/π^0$ ratio at 510 GeV. The forward cross section is measured differentially in $η$-meson transverse momentum ($p_T$) from…

We prove the two-dimensional analogue of the asymptotics for Toeplitz determinants with Fisher-Hartwig singularities, for general real symbols. This formula has applications to random normal matrices with complex spectra: (i) the characteristic polynomial converges to a Gaussian multiplicative chaos random measure on…

Abstract Cycle scenarios are a significant class of contextuality scenarios, with the Clauser–Horne–Shimony–Holt scenario being a notable example. While binary outcome measurements in these scenarios are well understood, the generalization to arbitrary outcomes remains less explored, except in specific cases. In this…

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We present several known solutions to the two-dimensional Ising model. This review originated from the ``Ising 100'' seminar series held at Boğaziçi University, Istanbul, in 2024.

The harmonic flow coefficients of light nuclei and hypernuclei in Au+Au collisions at $\sqrt{s_\mathrm{NN}}=3$ GeV are investigated using the Ultra-relativistic Quantum Molecular Dynamics transport model. For the Equation-of-State we employ a density and momentum dependent potential from the Chiral-Mean-Field model. L…

• NİHAL BÜYÜKÇİZMECİ