K. Kozioł

activity

20122024

most citedPedestrian Models based on Rational Behaviour

32 citations · 97 across the 19 of their papers we have counts for

collaborators

21 papers

physics.atom-ph2024★ 12 cited

Multiconfiguration Dirac-Hartree-Fock and configuration-interaction study of $4 d - 3 p$ x-ray transitions in Cu- and Ni-like tungsten ions

Karol Kozioł, Jacek Rzadkiewicz

The $4 d \to 3 p$ x-ray transitions in Cu- and Ni-like tungsten ions have been studied theoretically. The multiconfiguration Dirac-Hartree-Fock (MCDHF) method and the large-scale rel…

math.NT2023

Gelfand-Kirillov dimension for mod $p$ representations of $p$ -adic unitary groups of rank 2

Karol Koziol, Stefano Morra

Let $p$ be a prime number and $F / F^{+}$ a CM extension of a totally real field such that every place of $F^{+}$ above $p$ is unramified and inert in $F$ . We fix a finite place $v$ of $…

physics.atom-ph2023

FLUKA simulations of the target thickness dependence of Cu-K $β$ /K $α$ intensity ratios

Aneta Maria Gójska, Karol Kozioł, Ewelina Agnieszka Miśta-Jakubowska +2

The numerical Monte-Carlo simulations of Cu-K $α$ and Cu-K $β$ fluorescence lines induced by monoenergetic Am-241 radiation in copper have been presented. The simulations included mo…

physics.atom-ph2023★ 1 cited

The K-X-ray intensity ratios as a tool of examination and thickness measurements of coating layers

Aneta Maria Gójska, Ewelina Agnieszka Miśta-Jakubowska, Karol Kozioł +2

The ED-XRF (Energy-Dispersive X-ray Fluorescence) measurements and the FLUKA simulations have been made to discuss the possibility of recognition of coating layer as well as to its…

physics.atom-ph2022★ 4 cited

Relativistically calculated K-shell level widths and fluorescence yields for atoms with 20 $\leq$ Z $\leq$ 30

Karol Kozioł

The $K$ -shell level radiative, non-radiative, and total widths, $K$ -shell fluorescence yields and $K$ -shell hole state lifetimes for atoms with 20 $\leq$ Z $\leq$ 30 have been calculated…

physics.chem-ph2022★ 12 cited

Relativistic and QED corrections to one-bond indirect nulcear spin-spin couplings in X $_{2}^{2 +}$ and X $_{3}^{2 +}$ ions (X = Zn, Cd, Hg)

Mariano Colombo Jofré, Karol Kozioł, I. Agustín Aucar +3

The indirect nuclear spin-spin coupling tensor, $J$ , between mercury nuclei in Hg-containing systems can be of the order of few kHz and one of the largest measured. We cond…

math.RT2022

Derived right adjoints of parabolic induction: an example

Karol Koziol

Suppose $p \geq 5$ is a prime number, and let $G = SL_{2} (Q_{p})$ . We calculate the derived functors $R^{n} R_{B}^{G} (π)$ , where $B$ is a Borel subgroup o…

math.RT2020★ 3 cited

Functorial properties of pro- $p$ -Iwahori cohomology

Karol Koziol

Suppose $F$ is a finite extension of $Q_{p}$ , $G$ is the group of $F$ -points of a connected reductive $F$ -group, and $I_{1}$ is a pro- $p$ -Iwahori subgroup of $G$ . We construct…

physics.atom-ph2019

Theoretical level energies, radiative lifetimes and transitions in W IX

Karol Kozioł, Jacek Rzadkiewicz

The atomic states of the W IX (W8+) tungsten ion lying below the W9+ ionisation threshold have been studied theoretically, employing the multiconfiguration Dirac-Hartree-Fock metho…

physics.atom-ph2019★ 14 cited

Breit and QED contributions in atomic structure calculations of tungsten ions

Karol Kozioł

The FAC, GRASP2K, and MCDFGME codes are compared in three case study of radiative transitions occurring in tungsten ions: (i) Ni1 and Ni2 lines in Ni-like tungsten, (ii) $3p_{3/2}{…

math.NT2018★ 3 cited

Serre weight conjectures for $p$ -adic unitary groups of rank 2

Karol Koziol, Stefano Morra

We prove a version of the weight part of Serre's conjecture for mod $p$ Galois representations attached to automorphic forms on rank 2 unitary groups which are non-split at $p$ . Mo…

physics.soc-ph2018★ 32 cited

Pedestrian Models based on Rational Behaviour

Rafael Bailo, José A. Carrillo, Pierre Degond

Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual based models have been proposed to calculate the evolution of abstract agents. While th…

math.RT2017

The first pro- $p$ -Iwahori cohomology of mod- $p$ principal series for $p$ -adic $GL_{n}$

Karol Koziol

Let $p \geq 3$ be a prime number and $F$ a $p$ -adic field. Let $I_{1}$ denote the pro- $p$ -Iwahori subgroup of $GL_{n} (F)$ , and $H$ the pro- $p$ -Iwahori--Hecke algebra…

math.RT2017★ 1 cited

Hecke module structure on first and top pro- $p$ -Iwahori cohomology

Karol Koziol

Let $p \geq 5$ be a prime number, $G$ a split connected reductive group defined over a $p$ -adic field, and $I_{1}$ a choice of pro- $p$ -Iwahori subgroup. Let $C$ be an algebraically cl…

math.RT2016

Irreducible admissible mod-p representations of metaplectic groups

Karol Koziol, Laura Peskin

Let $p$ be an odd prime number, and $F$ a nonarchimedean local field of residual characteristic $p$ . We classify the smooth, irreducible, admissible genuine mod- $p$ representations…

math.RT2015

Homological dimension of simple pro-p-Iwahori--Hecke modules

Karol Koziol

Let $G$ be a split connected reductive group defined over a nonarchimedean local field of residual characteristic $p$ , and let $H$ be the pro- $p$ -Iwahori--Hecke algebra a…

physics.atom-ph2014★ 11 cited

MCDF-RCI predictions for structure and width of $K α_{1, 2}$ x-ray line of Al and Si

Karol Kozioł

Multiconfiguration Dirac-Fock and Relativistic Configuration Interaction methods have been employed to predict the structure and the width of $K α_{1, 2}$ x-ray lines of Al and Si. T…

physics.atom-ph2014★ 1 cited

Widths of KL $_{2, 3}$ atomic level for Ca, Fe, Zn

Karol Kozioł

Widths of $K L_{2, 3}$ atomic levels for Ca, Fe, Zn has been calculated in a fully-relativistic way using the extensive multiconfiguration Dirac-Fock and modified Dirac-Hartree-Slate…

math.RT2013

Pro-p-Iwahori invariants for SL_2 and L-packets of Hecke modules

Karol Koziol

Let p be a prime number, and F a nonarchimedean local field of residual characteristic p. We explore the interaction between the pro-p-Iwahori-Hecke algebras of the group GL_n(F) a…

math.RT2012★ 2 cited

A classification of the irreducible mod-p representations of U(1,1)(Q_p^2/Q_p)

Karol Koziol

Let p be a prime number. We classify all smooth irreducible mod-p representations of the unramified unitary group U(1,1)(Q_p^2/Q_p) in two variables. We then investigate Langlands…

math.RT2012★ 1 cited

Hecke modules and supersingular representations of U(2,1)

Karol Koziol, Peng Xu

Let F be a nonarchimedean local field of odd residual characteristic p. We classify finite-dimensional simple right modules for the pro-p-Iwahori-Hecke algebra $\mathcal{H}_C(G,I(1…

Multiconfiguration Dirac-Hartree-Fock and configuration-interaction study of 4d−3p x-ray transitions in Cu- and Ni-like tungsten ions

Gelfand-Kirillov dimension for mod p representations of p-adic unitary groups of rank 2

FLUKA simulations of the target thickness dependence of Cu-Kβ/Kα intensity ratios

The K-X-ray intensity ratios as a tool of examination and thickness measurements of coating layers

Relativistically calculated K-shell level widths and fluorescence yields for atoms with 20≤Z≤30

Relativistic and QED corrections to one-bond indirect nulcear spin-spin couplings in X22+​ and X32+​ ions (X = Zn, Cd, Hg)

Derived right adjoints of parabolic induction: an example

Functorial properties of pro-p-Iwahori cohomology

Theoretical level energies, radiative lifetimes and transitions in W IX

Breit and QED contributions in atomic structure calculations of tungsten ions

Serre weight conjectures for p-adic unitary groups of rank 2

Pedestrian Models based on Rational Behaviour

The first pro-p-Iwahori cohomology of mod-p principal series for p-adic GLn​

Hecke module structure on first and top pro-p-Iwahori cohomology

Irreducible admissible mod-p representations of metaplectic groups

Homological dimension of simple pro-p-Iwahori--Hecke modules

MCDF-RCI predictions for structure and width of Kα1,2​ x-ray line of Al and Si

Widths of KL2,3​ atomic level for Ca, Fe, Zn

Pro-p-Iwahori invariants for SL_2 and L-packets of Hecke modules

A classification of the irreducible mod-p representations of U(1,1)(Q_p^2/Q_p)

Hecke modules and supersingular representations of U(2,1)

Multiconfiguration Dirac-Hartree-Fock and configuration-interaction study of $4 d - 3 p$ x-ray transitions in Cu- and Ni-like tungsten ions

Gelfand-Kirillov dimension for mod $p$ representations of $p$ -adic unitary groups of rank 2

FLUKA simulations of the target thickness dependence of Cu-K $β$ /K $α$ intensity ratios

Relativistically calculated K-shell level widths and fluorescence yields for atoms with 20 $\leq$ Z $\leq$ 30

Relativistic and QED corrections to one-bond indirect nulcear spin-spin couplings in X $_{2}^{2 +}$ and X $_{3}^{2 +}$ ions (X = Zn, Cd, Hg)

Functorial properties of pro- $p$ -Iwahori cohomology

Serre weight conjectures for $p$ -adic unitary groups of rank 2

The first pro- $p$ -Iwahori cohomology of mod- $p$ principal series for $p$ -adic $GL_{n}$

Hecke module structure on first and top pro- $p$ -Iwahori cohomology

MCDF-RCI predictions for structure and width of $K α_{1, 2}$ x-ray line of Al and Si

Widths of KL $_{2, 3}$ atomic level for Ca, Fe, Zn