Jakub Jankowski
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Jakub Jankowski has a total of 43 co-authors. Here are the top co-authors by number of shared publications:
- Romuald Aleksander Janik
Institute of Theoretical Physics, Jagiellonian University, Kraków, Poland
9 shared publications - David Blaschke
Institute of Theoretical Physics, University of Wroclaw, Wroclaw, Poland
6 shared publications - Hesam Soltanpanahi
Institute of Physics Jagiellonian University Lojasiewicza 11 30-348 Kraków Poland
4 shared publications - Michał Spaliński
National Centre for Nuclear Research 02-093 Warsaw Poland
4 shared publications - Piotr Sułkowski
Faculty of Physics, University of Warsaw, Warsaw, Poland
4 shared publications - Dmitry Noshchenko
School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin 4, Ireland
3 shared publications
Latest Publications
- Open Access
- 31 December 2025
- Published by Uniwersytet Lodzki (University of Lodz) in Kwartalnik Prawa Podatkowego
- No. 2,p. 9-35
Test substancji ekonomicznej w przypadku spółek pośredniczących – klauzula rzeczywistego właściciela a recharakteryzacja transakcji
Artykuł podejmuje problematykę testu substancji ekonomicznej w odniesieniu do spółek pośredniczących, analizując wzajemne relacje pomiędzy klauzulą rzeczywistego właściciela (beneficial owner) a recharakteryzacją transakcji (non-recognition) w prawie podatkowym. Autorzy dokonują przeglądu ewolucji koncepcji rzeczywistego właściciela w świetle Komentarza do Modelowej Konwencji OECD, zestawiając ją z metodyką badania substancji ekonomicznej stosowaną na gruncie przepisów o cenach transferowych. Na podstawie analizy orzecznictwa TSUE oraz sądów krajowych i zagranicznych autorzy stwierdzają, że współczesne podejście do oceny substancji ekonomicznej wykracza poza formalnoprawne kryteria własności i obejmuje bardziej złożoną ocenę prowadzonej działalności. Wskazują także na przenikanie się mechanizmów charakterystycznych dla reżimów WHT oraz TP, co prowadzi do konieczności zrównoważenia skuteczności przeciwdziałania nadużyciom z ochroną praw podatników. Zasadniczą tezą artykułu jest stwierdzenie, że test substancji ekonomicznej – choć w obu reżimach pełni w istocie funkcję antyabuzywną – różni się co do zakresu, celu i intensywności oceny: w klauzuli BO ma charakter binarny (kwalifikacyjny), a w ramach TP stanowi narzędzie kalibracji rozkładu funkcji i dochodów w grupach powiązanych.
- 31 December 2025
- Published by Uniwersytet Lodzki (University of Lodz) in Kwartalnik Prawa Podatkowego
- No. 2,p. 9-35
Open AccessTest substancji ekonomicznej w przypadku spółek pośredniczących – klauzula rzeczywistego właściciela a recharakteryzacja transakcji
Artykuł podejmuje problematykę testu substancji ekonomicznej w odniesieniu do spółek pośredniczących, analizując wzajemne relacje pomiędzy klauzulą rzeczywistego właściciela (beneficial owner) a recharakteryzacją transakcji (non-recognition) w prawie podatkowym. Autorzy dokonują przeglądu ewolucji koncepcji rzeczywistego właściciela w świetle Komentarza do Modelowej Konwencji OECD, zestawiając ją z metodyką badania substancji ekonomicznej stosowaną na gruncie przepisów o cenach transferowych. Na podstawie analizy orzecznictwa TSUE oraz sądów krajowych i zagranicznych autorzy stwierdzają, że współczesne podejście do oceny substancji ekonomicznej wykracza poza formalnoprawne kryteria własności i obejmuje bardziej złożoną ocenę prowadzonej działalności. Wskazują także na przenikanie się mechanizmów charakterystycznych dla reżimów WHT oraz TP, co prowadzi do konieczności zrównoważenia skuteczności przeciwdziałania nadużyciom z ochroną praw podatników. Zasadniczą tezą artykułu jest stwierdzenie, że test substancji ekonomicznej – choć w obu reżimach pełni w istocie funkcję antyabuzywną – różni się co do zakresu, celu i intensywności oceny: w klauzuli BO ma charakter binarny (kwalifikacyjny), a w ramach TP stanowi narzędzie kalibracji rozkładu funkcji i dochodów w grupach powiązanych.
- Open Access
- 30 March 2025
- Published by Uniwersytet Lodzki (University of Lodz) in Kwartalnik Prawa Podatkowego
- No. 1,p. 57-79
Znaczenie koncepcji look through approach w podatku u źródła
W artykule omówiono problemy, jakie może wywołać stosowanie koncepcji LTA na gruncie podatku u źródła. Analizie poddano istotę tej koncepcji oraz poszczególne przesłanki jej stosowania. Podjęto również próbę wskazania najczęstszych błędów, które prowadzą do niewłaściwego rozumienia tej instytucji.
- 30 March 2025
- Published by Uniwersytet Lodzki (University of Lodz) in Kwartalnik Prawa Podatkowego
- No. 1,p. 57-79
Open AccessZnaczenie koncepcji look through approach w podatku u źródła
W artykule omówiono problemy, jakie może wywołać stosowanie koncepcji LTA na gruncie podatku u źródła. Analizie poddano istotę tej koncepcji oraz poszczególne przesłanki jej stosowania. Podjęto również próbę wskazania najczęstszych błędów, które prowadzą do niewłaściwego rozumienia tej instytucji.
- Open Access
Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
One of the many physical questions that have emerged from studies of heavy-ion collisions at RHIC and the LHC concerns the validity of hydrodynamic modelling at the very early stages, when the Quark-Gluon Plasma system produced is still far from isotropy. In this article we review the idea of far-from-equilibrium hydrodynamic attractors as a way to understand how the complexity of initial states of nuclear matter is reduced so that a hydrodynamic description can be effective.
Open AccessHydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
One of the many physical questions that have emerged from studies of heavy-ion collisions at RHIC and the LHC concerns the validity of hydrodynamic modelling at the very early stages, when the Quark-Gluon Plasma system produced is still far from isotropy. In this article we review the idea of far-from-equilibrium hydrodynamic attractors as a way to understand how the complexity of initial states of nuclear matter is reduced so that a hydrodynamic description can be effective.
- Open Access
- 21 June 2023
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 402 (2) , 1551-1584
Quiver Diagonalization and Open BPS States
We show that motivic Donaldson–Thomas invariants of a symmetric quiver Q, captured by the generating function $$P_Q$$ , can be encoded in another quiver $$Q^{(\infty )}$$ of (almost always) infinite size, whose only arrows are loops, and whose generating function $$P_{Q^{(\infty )}}$$ is equal to $$P_Q$$ upon appropriate identification of generating parameters. Consequences of this statement include a generalization of the proof of integrality of Donaldson–Thomas and Labastida–Mariño–Ooguri–Vafa invariants that count open BPS states, as well as expressing motivic Donaldson–Thomas invariants of an arbitrary symmetric quiver in terms of invariants of m-loop quivers. In particular, this means that the already known combinatorial interpretation of invariants of m-loop quivers extends to arbitrary symmetric quivers.- 21 June 2023
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 402 (2) , 1551-1584
Open AccessQuiver Diagonalization and Open BPS States
We show that motivic Donaldson–Thomas invariants of a symmetric quiver Q, captured by the generating function $$P_Q$$ , can be encoded in another quiver $$Q^{(\infty )}$$ of (almost always) infinite size, whose only arrows are loops, and whose generating function $$P_{Q^{(\infty )}}$$ is equal to $$P_Q$$ upon appropriate identification of generating parameters. Consequences of this statement include a generalization of the proof of integrality of Donaldson–Thomas and Labastida–Mariño–Ooguri–Vafa invariants that count open BPS states, as well as expressing motivic Donaldson–Thomas invariants of an arbitrary symmetric quiver in terms of invariants of m-loop quivers. In particular, this means that the already known combinatorial interpretation of invariants of m-loop quivers extends to arbitrary symmetric quivers. - 7 June 2023
- Published by American Physical Society (APS) in Physical Review D
- Vol. 107 (11) , 116004
Novel features of attractors and transseries in nonconformal Bjorken flows
In this work we investigate the impact of conformal symmetry breaking on hydrodynamization of a far-from-equilibrium fluid. We find a new kind of transseries solutions for the nonconformal hydrodynamic equations of a longitudinal boost invariant expanding plasma. The new transseries solutions unveil a rich physical structure which arises due to the interplay of different physical scales. In the perfect fluid case the nonconformal speed of sound slows down the cooling of the temperature due to the emergence of logarithmic corrections that depends on the mass of the particle. These terms propagate into the perturbative and nonperturbative sectors of the transseries once viscous corrections are included. The logarithmic mass contributions increase the asymptotic value of the Knudsen number while decreasing the damping rate of the transient nonhydrodynamic modes and thus, yielding to an extremely slow hydrodynamization process where flow lines merge to their forward attractor at extremely late times. The early time free streaming expansion is modified and receives logarithmic mass corrections induced by the shear-bulk couplings. The global flow structure and numerical analyses carried out in our work demonstrate the existence of local attraction at early and late times for the shear viscous tensor and bulk viscous pressure.
- 7 June 2023
- Published by American Physical Society (APS) in Physical Review D
- Vol. 107 (11) , 116004
Novel features of attractors and transseries in nonconformal Bjorken flows
In this work we investigate the impact of conformal symmetry breaking on hydrodynamization of a far-from-equilibrium fluid. We find a new kind of transseries solutions for the nonconformal hydrodynamic equations of a longitudinal boost invariant expanding plasma. The new transseries solutions unveil a rich physical structure which arises due to the interplay of different physical scales. In the perfect fluid case the nonconformal speed of sound slows down the cooling of the temperature due to the emergence of logarithmic corrections that depends on the mass of the particle. These terms propagate into the perturbative and nonperturbative sectors of the transseries once viscous corrections are included. The logarithmic mass contributions increase the asymptotic value of the Knudsen number while decreasing the damping rate of the transient nonhydrodynamic modes and thus, yielding to an extremely slow hydrodynamization process where flow lines merge to their forward attractor at extremely late times. The early time free streaming expansion is modified and receives logarithmic mass corrections induced by the shear-bulk couplings. The global flow structure and numerical analyses carried out in our work demonstrate the existence of local attraction at early and late times for the shear viscous tensor and bulk viscous pressure.
- 25 April 2023
- Published by Elsevier in Progress in Particle and Nuclear Physics
- Vol. 132
Hydrodynamic attractors in ultrarelativistic nuclear collisions
- 25 April 2023
- Published by Elsevier in Progress in Particle and Nuclear Physics
- Vol. 132
Hydrodynamic attractors in ultrarelativistic nuclear collisions
- Open Access
Novel features of attractors and transseries in non-conformal Bjorken flows
In this work we investigate the impact of conformal symmetry breaking on hydrodynamization of a far-from-equilibrium fluid. We find a new kind of transseries solutions for the non-conformal hydrodynamic equations of a longitudinal boost invariant expanding plasma. The new transseries solutions unveil a rich physical structure which arises due to the interplay of different physical scales. In the perfect fluid case the non-conformal speed of sound slows down the cooling of the temperature due to the emergence of logarithmic corrections that depends on the mass of the particle. These terms propagate into the perturbative and non-perturbative sectors of the transseries once viscous corrections are included. The logarithmic mass contributions increase the asymptotic value of the Knudsen number while decreasing the damping rate of the transient non-hydrodynamic modes and thus, yielding to an extremely slow hydrodynamization process where flow lines merge to their forward attractor at extremely late times. The early time free streaming expansion is modified and receives logarithmic mass corrections induced by the shear-bulk couplings. The global flow structure and numerical analyses carried out in our work demonstrate the existence of the early and late-time attractors for the shear viscous tensor and bulk viscous pressure.
Open AccessNovel features of attractors and transseries in non-conformal Bjorken flows
In this work we investigate the impact of conformal symmetry breaking on hydrodynamization of a far-from-equilibrium fluid. We find a new kind of transseries solutions for the non-conformal hydrodynamic equations of a longitudinal boost invariant expanding plasma. The new transseries solutions unveil a rich physical structure which arises due to the interplay of different physical scales. In the perfect fluid case the non-conformal speed of sound slows down the cooling of the temperature due to the emergence of logarithmic corrections that depends on the mass of the particle. These terms propagate into the perturbative and non-perturbative sectors of the transseries once viscous corrections are included. The logarithmic mass contributions increase the asymptotic value of the Knudsen number while decreasing the damping rate of the transient non-hydrodynamic modes and thus, yielding to an extremely slow hydrodynamization process where flow lines merge to their forward attractor at extremely late times. The early time free streaming expansion is modified and receives logarithmic mass corrections induced by the shear-bulk couplings. The global flow structure and numerical analyses carried out in our work demonstrate the existence of the early and late-time attractors for the shear viscous tensor and bulk viscous pressure.
- Open Access
Quiver diagonalization and open BPS states
We show that motivic Donaldson-Thomas invariants of a~symmetric quiver $Q$, captured by the generating function $P_Q$, can be encoded in another quiver $Q^{(\infty)}$ of (almost always) infinite size, whose only arrows are loops, and whose generating function $P_{Q^{(\infty)}}$ is equal to $P_Q$ upon appropriate identification of generating parameters. Consequences of this statement include a generalization of the proof of integrality of Donaldson-Thomas and Labastida-Mari\~{n}o-Ooguri-Vafa invariants that count open BPS states, as well as expressing motivic Donaldson-Thomas invariants of an arbitrary symmetric quiver in terms of invariants of $m$-loop quivers. In particular, this means that the already known combinatorial interpretation of invariants of $m$-loop quivers extends to arbitrary symmetric quivers.Open AccessQuiver diagonalization and open BPS states
We show that motivic Donaldson-Thomas invariants of a~symmetric quiver $Q$, captured by the generating function $P_Q$, can be encoded in another quiver $Q^{(\infty)}$ of (almost always) infinite size, whose only arrows are loops, and whose generating function $P_{Q^{(\infty)}}$ is equal to $P_Q$ upon appropriate identification of generating parameters. Consequences of this statement include a generalization of the proof of integrality of Donaldson-Thomas and Labastida-Mari\~{n}o-Ooguri-Vafa invariants that count open BPS states, as well as expressing motivic Donaldson-Thomas invariants of an arbitrary symmetric quiver in terms of invariants of $m$-loop quivers. In particular, this means that the already known combinatorial interpretation of invariants of $m$-loop quivers extends to arbitrary symmetric quivers. - 14 October 2021
- Published by American Physical Society (APS) in Physical Review D
- Vol. 104 (7) , 074012
Constraining the initial stages of ultrarelativistic nuclear collisions
It is frequently supposed that quark-gluon plasma created in heavy-ion collisions undergoes free streaming at early times. We examine this issue based on the assumption that a universal attractor dominates the dynamics already at the earliest stages, which offers a way to connect the initial state with the start of the hydrodynamic expansion in an approximate but conceptually transparent fashion. We demonstrate that the centrality dependence of the measured particle multiplicities can be used to quantitatively constrain the pressure anisotropy and find that it strongly depends on the model of the initial energy deposition. As an illustration, we compare three initial state models and show that they predict rather different early-time values of the pressure anisotropy. This suggests that while assuming free streaming prior to hydrodynamization may be compatible with some initial state models, in general, features of the prehydrodynamic flow need to be matched with the model of the initial state.
- 14 October 2021
- Published by American Physical Society (APS) in Physical Review D
- Vol. 104 (7) , 074012
Constraining the initial stages of ultrarelativistic nuclear collisions
It is frequently supposed that quark-gluon plasma created in heavy-ion collisions undergoes free streaming at early times. We examine this issue based on the assumption that a universal attractor dominates the dynamics already at the earliest stages, which offers a way to connect the initial state with the start of the hydrodynamic expansion in an approximate but conceptually transparent fashion. We demonstrate that the centrality dependence of the measured particle multiplicities can be used to quantitatively constrain the pressure anisotropy and find that it strongly depends on the model of the initial energy deposition. As an illustration, we compare three initial state models and show that they predict rather different early-time values of the pressure anisotropy. This suggests that while assuming free streaming prior to hydrodynamization may be compatible with some initial state models, in general, features of the prehydrodynamic flow need to be matched with the model of the initial state.
- Open Access
- 12 October 2021
- Published by American Physical Society (APS) in Physical Review D
- Vol. 104 (8) , 086017
Permutohedra for knots and quivers
The knots-quivers correspondence states that various characteristics of a knot are encoded in the corresponding quiver and the moduli space of its representations. However, this correspondence is not a bijection: more than one quiver may be assigned to a given knot and encode the same information. In this work we study this phenomenon systematically and show that it is generic rather than exceptional. First, we find conditions that characterize equivalent quivers. Then we show that equivalent quivers arise in families that have the structure of permutohedra, and the set of all equivalent quivers for a given knot is parametrized by vertices of a graph made of several permutohedra glued together. These graphs can be also interpreted as webs of dual three-dimensional theories. All these results are intimately related to properties of homological diagrams for knots, as well as to multicover skein relations that arise in the counting of holomorphic curves with boundaries on Lagrangian branes in Calabi-Yau three-folds.- 12 October 2021
- Published by American Physical Society (APS) in Physical Review D
- Vol. 104 (8) , 086017
Open AccessPermutohedra for knots and quivers
The knots-quivers correspondence states that various characteristics of a knot are encoded in the corresponding quiver and the moduli space of its representations. However, this correspondence is not a bijection: more than one quiver may be assigned to a given knot and encode the same information. In this work we study this phenomenon systematically and show that it is generic rather than exceptional. First, we find conditions that characterize equivalent quivers. Then we show that equivalent quivers arise in families that have the structure of permutohedra, and the set of all equivalent quivers for a given knot is parametrized by vertices of a graph made of several permutohedra glued together. These graphs can be also interpreted as webs of dual three-dimensional theories. All these results are intimately related to properties of homological diagrams for knots, as well as to multicover skein relations that arise in the counting of holomorphic curves with boundaries on Lagrangian branes in Calabi-Yau three-folds.