Tobias Weich

Institut für Mathematik
Institut für Photonische Quantensysteme (PhoQS)
Spektral Analysis
tobias.weich@uni-paderborn.de
ID
49178

37 Publications

Mark all

[37]
2025 | Journal Article | LibreCat-ID: 32099 | OA
Weich, T., & Budde, J. (2025). Wave Front Sets of Nilpotent Lie Group Representations. Journal of Functional Analysis, 288(1). https://doi.org/ https://doi.org/10.1016/j.jfa.2024.110684
LibreCat | Files available | DOI
 
[36]
2024 | Journal Article | LibreCat-ID: 52876
Arends, C., Wolf, L. L., Meinecke, J., Barkhofen, S., Weich, T., & Bartley, T. (2024). Decomposing large unitaries into multimode devices of arbitrary size. Physical Review Research, 6(1), Article L012043. https://doi.org/10.1103/physrevresearch.6.l012043
LibreCat | DOI
 
[35]
2024 | Journal Article | LibreCat-ID: 51207
Weich, T., & Wolf, L. L. (2024). Temperedness of locally symmetric spaces: The product case. Geom Dedicata, 218, Article 76. https://doi.org/10.1007/s10711-024-00904-4
LibreCat | DOI | arXiv
 
[34]
2024 | Preprint | LibreCat-ID: 51204
Lutsko, C., Weich, T., & Wolf, L. L. (2024). Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. In arXiv:2402.02530.
LibreCat | arXiv
 
[33]
2024 | Book | LibreCat-ID: 55193
Hoffmann, M., Hilgert, J., & Weich, T. (2024). Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-67357-7
LibreCat | DOI
 
[32]
2024 | Journal Article | LibreCat-ID: 32101 | OA
Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024). Ruelle-Taylor resonances of Anosov actions. J. Europ. Math. Soc., 1–36.
LibreCat | Files available
 
[31]
2024 | Journal Article | LibreCat-ID: 32097 | OA
Weich, T., Guedes Bonthonneau, Y., & Guillarmou, C. (2024). SRB Measures of Anosov Actions. Journal of Differential Geometry, 128, 959–1026. https://doi.org/ DOI: 10.4310/jdg/1729092452
LibreCat | Files available | DOI | arXiv
 
[30]
2024 | Journal Article | LibreCat-ID: 58103
Bux, K.-U., Hilgert, J., & Weich, T. (2024). Spectral correspondences for finite graphs without dead ends. Indagationes Mathematicae, 36(1), 188–217. https://doi.org/10.1016/j.indag.2024.05.001
LibreCat | DOI
 
[29]
2023 | Journal Article | LibreCat-ID: 31189
Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric  spaces. Communications in Mathematical Physics, 403. https://doi.org/10.1007/s00220-023-04819-1
LibreCat | DOI | arXiv
 
[28]
2023 | Journal Article | LibreCat-ID: 31059
Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics, 398, 655–678. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z
LibreCat | DOI | arXiv
 
[27]
2023 | Preprint | LibreCat-ID: 51206
Schütte, P., & Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. In arXiv:2308.13463.
LibreCat | arXiv
 
[26]
2023 | Journal Article | LibreCat-ID: 31190
Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical correspondence. Analysis & PDE, 16(10), 2241–2265.
LibreCat | arXiv
 
[25]
2023 | Journal Article | LibreCat-ID: 53410
Delarue, B., Schütte, P., & Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré, 25(2), 1607–1656. https://doi.org/10.1007/s00023-023-01379-x
LibreCat | DOI
 
[24]
2022 | Journal Article | LibreCat-ID: 31193
Kolb, M., Weich, T., & Wolf, L. L. (2022). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré, 23(4), 1283–1296. https://doi.org/10.1007/s00023-021-01121-5
LibreCat | DOI | arXiv
 
[23]
2022 | Journal Article | LibreCat-ID: 35306
Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society, 24(3), 851–923. https://doi.org/10.4171/jems/1103
LibreCat | DOI
 
[22]
2022 | Journal Article | LibreCat-ID: 31057
Barkhofen, S., Schütte, P., & Weich, T. (2022). Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical, 55(24), Article 244007. https://doi.org/10.1088/1751-8121/ac6d2b
LibreCat | DOI | arXiv
 
[21]
2022 | Journal Article | LibreCat-ID: 35322
Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414
LibreCat | DOI
 
[20]
2021 | Preprint | LibreCat-ID: 31058
Schütte, P., Weich, T., & Delarue, B. (2021). Resonances and weighted zeta functions for obstacle scattering via smooth models.
LibreCat | arXiv
 
[19]
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, C., Hilgert, J., & Weich, T. (2021). High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue, 4, 81–119. https://doi.org/10.5802/ahl.67
LibreCat | DOI | arXiv
 
[18]
2020 | Journal Article | LibreCat-ID: 31264
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
LibreCat | DOI
 
[17]
2020 | Journal Article | LibreCat-ID: 53415
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 31265
Dyatlov, S., Borthwick, D., & Weich, T. (2019). Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. Journal of the European Mathematical Society, 21(6), 1595–1639. https://doi.org/10.4171/jems/867
LibreCat | DOI | arXiv
 
[15]
2019 | Preprint | LibreCat-ID: 31191
Kolb, M., Weich, T., & Wolf, L. L. (2019). Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces. In arXiv:1909.06183.
LibreCat | arXiv
 
[14]
2019 | Journal Article | LibreCat-ID: 53416
Küster, B., & Weich, T. (2019). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices, 2021(11), 8225–8296. https://doi.org/10.1093/imrn/rnz068
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 31268
Faure, F., & Weich, T. (2017). Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics, 356(3), 755–822. https://doi.org/10.1007/s00220-017-3000-0
LibreCat | DOI | arXiv
 
[12]
2017 | Journal Article | LibreCat-ID: 31272
Harris, B., & Weich, T. (2017). Wave front sets of reductive Lie group representations III. Advances in Mathematics, 313, 176–236. https://doi.org/10.1016/j.aim.2017.03.025
LibreCat | DOI | arXiv
 
[11]
2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, C., Hilgert, J., & Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen, 370(3–4), 1231–1275. https://doi.org/10.1007/s00208-017-1576-5
LibreCat | DOI | arXiv
 
[10]
2017 | Journal Article | LibreCat-ID: 31377 | OA
Weich, T., & Hoffmann, M. (2017). Exkursinhalte in der fachmathematischen Lehramtsausbildung: Wie man das Wesen und die Rolle der Mathematik vermittelt. die hochschullehre, 3.
LibreCat | Download (ext.)
 
[9]
2016 | Journal Article | LibreCat-ID: 31274
Borthwick, D., & Weich, T. (2016). Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. Journal of Spectral Theory, 6(2), 267–329. https://doi.org/10.4171/jst/125
LibreCat | DOI | arXiv
 
[8]
2016 | Journal Article | LibreCat-ID: 31289
Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré, 18(1), 37–52. https://doi.org/10.1007/s00023-016-0514-5
LibreCat | DOI | arXiv
 
[7]
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI, J. F., FAURE, F., & Weich, T. (2015). Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems, 37(1), 1–58. https://doi.org/10.1017/etds.2015.34
LibreCat | DOI | arXiv
 
[6]
2015 | Journal Article | LibreCat-ID: 31293
Weich, T. (2015). Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics, 337(2), 727–765. https://doi.org/10.1007/s00220-015-2359-z
LibreCat | DOI | arXiv
 
[5]
2014 | Journal Article | LibreCat-ID: 31294
Weich, T. (2014). Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics, 55(10), Article 101501. https://doi.org/10.1063/1.4896698
LibreCat | DOI | arXiv
 
[4]
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen, S., Faure, F., & Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity, 27(8), 1829–1858. https://doi.org/10.1088/0951-7715/27/8/1829
LibreCat | DOI | arXiv
 
[3]
2014 | Journal Article | LibreCat-ID: 31297
Weich, T., Barkhofen, S., Kuhl, U., Poli, C., & Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics, 16(3), Article 033029. https://doi.org/10.1088/1367-2630/16/3/033029
LibreCat | DOI | arXiv
 
[2]
2013 | Journal Article | LibreCat-ID: 31298
Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., & Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters, 110(16), Article 164102. https://doi.org/10.1103/physrevlett.110.164102
LibreCat | DOI | arXiv
 
[1]
2012 | Journal Article | LibreCat-ID: 31300
Potzuweit, A., Weich, T., Barkhofen, S., Kuhl, U., Stöckmann, H.-J., & Zworski, M. (2012). Weyl asymptotics: From closed to open systems. Physical Review E, 86(6), Article 066205. https://doi.org/10.1103/physreve.86.066205
LibreCat | DOI | arXiv
 
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37 Publications

Mark all

[37]
2025 | Journal Article | LibreCat-ID: 32099 | OA
Weich, T., & Budde, J. (2025). Wave Front Sets of Nilpotent Lie Group Representations. Journal of Functional Analysis, 288(1). https://doi.org/ https://doi.org/10.1016/j.jfa.2024.110684
LibreCat | Files available | DOI
 
[36]
2024 | Journal Article | LibreCat-ID: 52876
Arends, C., Wolf, L. L., Meinecke, J., Barkhofen, S., Weich, T., & Bartley, T. (2024). Decomposing large unitaries into multimode devices of arbitrary size. Physical Review Research, 6(1), Article L012043. https://doi.org/10.1103/physrevresearch.6.l012043
LibreCat | DOI
 
[35]
2024 | Journal Article | LibreCat-ID: 51207
Weich, T., & Wolf, L. L. (2024). Temperedness of locally symmetric spaces: The product case. Geom Dedicata, 218, Article 76. https://doi.org/10.1007/s10711-024-00904-4
LibreCat | DOI | arXiv
 
[34]
2024 | Preprint | LibreCat-ID: 51204
Lutsko, C., Weich, T., & Wolf, L. L. (2024). Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. In arXiv:2402.02530.
LibreCat | arXiv
 
[33]
2024 | Book | LibreCat-ID: 55193
Hoffmann, M., Hilgert, J., & Weich, T. (2024). Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-67357-7
LibreCat | DOI
 
[32]
2024 | Journal Article | LibreCat-ID: 32101 | OA
Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024). Ruelle-Taylor resonances of Anosov actions. J. Europ. Math. Soc., 1–36.
LibreCat | Files available
 
[31]
2024 | Journal Article | LibreCat-ID: 32097 | OA
Weich, T., Guedes Bonthonneau, Y., & Guillarmou, C. (2024). SRB Measures of Anosov Actions. Journal of Differential Geometry, 128, 959–1026. https://doi.org/ DOI: 10.4310/jdg/1729092452
LibreCat | Files available | DOI | arXiv
 
[30]
2024 | Journal Article | LibreCat-ID: 58103
Bux, K.-U., Hilgert, J., & Weich, T. (2024). Spectral correspondences for finite graphs without dead ends. Indagationes Mathematicae, 36(1), 188–217. https://doi.org/10.1016/j.indag.2024.05.001
LibreCat | DOI
 
[29]
2023 | Journal Article | LibreCat-ID: 31189
Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric  spaces. Communications in Mathematical Physics, 403. https://doi.org/10.1007/s00220-023-04819-1
LibreCat | DOI | arXiv
 
[28]
2023 | Journal Article | LibreCat-ID: 31059
Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics, 398, 655–678. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z
LibreCat | DOI | arXiv
 
[27]
2023 | Preprint | LibreCat-ID: 51206
Schütte, P., & Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. In arXiv:2308.13463.
LibreCat | arXiv
 
[26]
2023 | Journal Article | LibreCat-ID: 31190
Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical correspondence. Analysis & PDE, 16(10), 2241–2265.
LibreCat | arXiv
 
[25]
2023 | Journal Article | LibreCat-ID: 53410
Delarue, B., Schütte, P., & Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré, 25(2), 1607–1656. https://doi.org/10.1007/s00023-023-01379-x
LibreCat | DOI
 
[24]
2022 | Journal Article | LibreCat-ID: 31193
Kolb, M., Weich, T., & Wolf, L. L. (2022). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré, 23(4), 1283–1296. https://doi.org/10.1007/s00023-021-01121-5
LibreCat | DOI | arXiv
 
[23]
2022 | Journal Article | LibreCat-ID: 35306
Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society, 24(3), 851–923. https://doi.org/10.4171/jems/1103
LibreCat | DOI
 
[22]
2022 | Journal Article | LibreCat-ID: 31057
Barkhofen, S., Schütte, P., & Weich, T. (2022). Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical, 55(24), Article 244007. https://doi.org/10.1088/1751-8121/ac6d2b
LibreCat | DOI | arXiv
 
[21]
2022 | Journal Article | LibreCat-ID: 35322
Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414
LibreCat | DOI
 
[20]
2021 | Preprint | LibreCat-ID: 31058
Schütte, P., Weich, T., & Delarue, B. (2021). Resonances and weighted zeta functions for obstacle scattering via smooth models.
LibreCat | arXiv
 
[19]
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, C., Hilgert, J., & Weich, T. (2021). High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue, 4, 81–119. https://doi.org/10.5802/ahl.67
LibreCat | DOI | arXiv
 
[18]
2020 | Journal Article | LibreCat-ID: 31264
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
LibreCat | DOI
 
[17]
2020 | Journal Article | LibreCat-ID: 53415
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 31265
Dyatlov, S., Borthwick, D., & Weich, T. (2019). Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. Journal of the European Mathematical Society, 21(6), 1595–1639. https://doi.org/10.4171/jems/867
LibreCat | DOI | arXiv
 
[15]
2019 | Preprint | LibreCat-ID: 31191
Kolb, M., Weich, T., & Wolf, L. L. (2019). Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces. In arXiv:1909.06183.
LibreCat | arXiv
 
[14]
2019 | Journal Article | LibreCat-ID: 53416
Küster, B., & Weich, T. (2019). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices, 2021(11), 8225–8296. https://doi.org/10.1093/imrn/rnz068
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 31268
Faure, F., & Weich, T. (2017). Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics, 356(3), 755–822. https://doi.org/10.1007/s00220-017-3000-0
LibreCat | DOI | arXiv
 
[12]
2017 | Journal Article | LibreCat-ID: 31272
Harris, B., & Weich, T. (2017). Wave front sets of reductive Lie group representations III. Advances in Mathematics, 313, 176–236. https://doi.org/10.1016/j.aim.2017.03.025
LibreCat | DOI | arXiv
 
[11]
2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, C., Hilgert, J., & Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen, 370(3–4), 1231–1275. https://doi.org/10.1007/s00208-017-1576-5
LibreCat | DOI | arXiv
 
[10]
2017 | Journal Article | LibreCat-ID: 31377 | OA
Weich, T., & Hoffmann, M. (2017). Exkursinhalte in der fachmathematischen Lehramtsausbildung: Wie man das Wesen und die Rolle der Mathematik vermittelt. die hochschullehre, 3.
LibreCat | Download (ext.)
 
[9]
2016 | Journal Article | LibreCat-ID: 31274
Borthwick, D., & Weich, T. (2016). Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. Journal of Spectral Theory, 6(2), 267–329. https://doi.org/10.4171/jst/125
LibreCat | DOI | arXiv
 
[8]
2016 | Journal Article | LibreCat-ID: 31289
Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré, 18(1), 37–52. https://doi.org/10.1007/s00023-016-0514-5
LibreCat | DOI | arXiv
 
[7]
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI, J. F., FAURE, F., & Weich, T. (2015). Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems, 37(1), 1–58. https://doi.org/10.1017/etds.2015.34
LibreCat | DOI | arXiv
 
[6]
2015 | Journal Article | LibreCat-ID: 31293
Weich, T. (2015). Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics, 337(2), 727–765. https://doi.org/10.1007/s00220-015-2359-z
LibreCat | DOI | arXiv
 
[5]
2014 | Journal Article | LibreCat-ID: 31294
Weich, T. (2014). Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics, 55(10), Article 101501. https://doi.org/10.1063/1.4896698
LibreCat | DOI | arXiv
 
[4]
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen, S., Faure, F., & Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity, 27(8), 1829–1858. https://doi.org/10.1088/0951-7715/27/8/1829
LibreCat | DOI | arXiv
 
[3]
2014 | Journal Article | LibreCat-ID: 31297
Weich, T., Barkhofen, S., Kuhl, U., Poli, C., & Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics, 16(3), Article 033029. https://doi.org/10.1088/1367-2630/16/3/033029
LibreCat | DOI | arXiv
 
[2]
2013 | Journal Article | LibreCat-ID: 31298
Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., & Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters, 110(16), Article 164102. https://doi.org/10.1103/physrevlett.110.164102
LibreCat | DOI | arXiv
 
[1]
2012 | Journal Article | LibreCat-ID: 31300
Potzuweit, A., Weich, T., Barkhofen, S., Kuhl, U., Stöckmann, H.-J., & Zworski, M. (2012). Weyl asymptotics: From closed to open systems. Physical Review E, 86(6), Article 066205. https://doi.org/10.1103/physreve.86.066205
LibreCat | DOI | arXiv
 
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