2021

Bjornberg, Jakob E., Muhlbacher, Peter, Nachtergaele, Bruno and Ueltschi, Daniel (2021) Dimerization in quantum spin chains with O(n) symmetry. Communications in Mathematical Physics, 387 . pp. 1151-1189. doi:10.1007/s00220-021-04148-1

2020

Björnberg, Jakob E., Fröhlich, Jürg and Ueltschi, Daniel (2020) Quantum spins and random loops on the complete graph. Communications in Mathematical Physics, 375 (3). pp. 1629-1663. doi:10.1007/s00220-019-03634-x

Benassi, Costanza and Ueltschi, Daniel (2020) Loop correlations in random wire models. Communications in Mathematical Physics, 374 . pp. 525-547. doi:10.1007/s00220-019-03474-9

Björnberg, Jakob E., Mailler, Cécile , Mörters, Peter and Ueltschi, Daniel (2020) Characterising random partitions by random colouring. Electronic communications in probability, 25 . pp. 1-12. doi:10.1214/19-ECP283

2019

Ercolani, Nicholas M., Jansen, Sabine and Ueltschi, Daniel (2019) Singularity analysis for heavy-tailed random variables. Journal of Theoretical Probability, 321 . pp. 1-46. doi:10.1007/s10959-018-0832-2

2018

Björnberg, Jakob E. and Ueltschi, Daniel (2018) Critical Temperature of Heisenberg Models on Regular Trees, via Random Loops. Journal of Statistical Physics, 173 (5). pp. 1369-1385. doi:10.1007/s10955-018-2154-2

Björnberg, Jakob E. and Ueltschi, Daniel (2018) Critical parameter of random loop model on trees. The Annals of Applied Probability, 28 (4). pp. 2063-2082. doi:10.1214/17-AAP1315

2017

Benassi, Costanza, Fröhlich, Jürg and Ueltschi, Daniel (2017) Decay of correlations in 2D quantum systems with continuous symmetry. Annales Henri Poincare, 18 (9). pp. 2831-2847. doi:10.1007/s00023-017-0571-4

Nachtergaele, Bruno and Ueltschi, Daniel (2017) A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains. Letters in Mathematical Physics, 107 (9). pp. 1629-1647. doi:10.1007/s11005-017-0960-0

Benassi, Costanza, Lees, Benjamin and Ueltschi, Daniel (2017) Correlation inequalities for classical and quantum XY models. In: Michelangeli, Alessandro and Dell'Antonio, Gianfausto, (eds.) Advances in Quantum Mechanics: Contemporary Trends and Open Problems. Springer INdAM Series . Springer International Publishing. ISBN 9783319589039 (In Press)

Ueltschi, Daniel (2017) Universal behaviour of 3D loop soup models. In: 6th Warsaw School of Statistical Physics, Sandomierz, Poland, 25 Jun - 2 Jul 2016. Published in: Proceedings of 6th Warsaw School of Statistical Physics pp. 65-100.

2016

Mailler, Cécile, Mörters, Peter and Ueltschi, Daniel (2016) Condensation and symmetry-breaking in the zero-range process with weak site disorder. Stochastic Processes and their Applications, 126 (11). pp. 3283-3309. doi:10.1016/j.spa.2016.04.028

Benassi, Costanza, Lees, Benjamin and Ueltschi, Daniel (2016) Correlation inequalities for the quantum XY model. Journal of Statistical Physics, 164 (5). pp. 1157-1166. doi:10.1007/s10955-016-1580-2

Kotecky, Roman, Miłoś, Piotr and Ueltschi, Daniel (2016) The random interchange process on the hypercube. Electronic communications in probability, 21 (4). pp. 1-9. doi:10.1214/16-ECP4540

2015

Barp, Alessandro, Barp, Edoardo Gabriele, Briol, François-Xavier and Ueltschi, Daniel (2015) A numerical study of the 3D random interchange and random loop models. Journal of Physics A: Mathematical and Theoretical, 48 (34). pp. 1-11. 345002. doi:10.1088/1751-8113/48/34/345002

Fröhlich, Jürg and Ueltschi, Daniel (2015) Some properties of correlations of quantum lattice systems in thermal equilibrium. Journal of Mathematical Physics, 56 (5). pp. 1-15. 053302. doi:10.1063/1.4921305

Ueltschi, Daniel (2015) Ferromagnetism, antiferromagnetism, and the curious nematic phase of S=1 quantum spin systems. Physical Review E, 91 (4). pp. 1-12. 042132 . doi:10.1103/PhysRevE.91.042132

Björnberg, Jakob E. and Ueltschi, Daniel (2015) Decay of transverse correlations in quantum Heisenberg models. Journal of Mathematical Physics, 56 (4). pp. 1-9. 043303. doi:10.1063/1.4918675

2014

Ercolani, Nicholas M., Jansen, Sabine and Ueltschi, Daniel (2014) Random partitions in statistical mechanics. Electronic Journal of Probability, Volume 19 . pp. 1-37. doi:10.1214/EJP.v19-3244

Jansen, Sabine, Tate, Stephen James, Tsagkarogiannis, Dimitrios and Ueltschi, Daniel (2014) Multispecies virial expansions. Communications in Mathematical Physics, 330 (2). pp. 801-817. doi:10.1007/s00220-014-2026-9

Ercolani, Nicholas M. and Ueltschi, Daniel (2014) Cycle structure of random permutations with cycle weights. Random Structures & Algorithms, Volume 44 (Number 1). pp. 109-133. doi:10.1002/rsa.20430

2013

Ueltschi, Daniel (2013) Random loop representations for quantum spin systems. Journal of Mathematical Physics, Volume 54 (Number 8). Article number 083301. doi:10.1063/1.4817865

2012

Grosskinsky, Stefan, Lovisolo, Alexander A. and Ueltschi, Daniel (2012) Lattice permutations and Poisson-Dirichlet distribution of cycle lengths. Journal of Statistical Physics, Vol.146 (No.6). pp. 1105-1121. doi:10.1007/s10955-012-0450-9

2011

Betz, Volker and Ueltschi, Daniel (2011) Spatial random permutations and Poisson-Dirichlet law of cycle lengths. Electronic Journal of Probability, Vol.16 (No.41).

Betz, Volker, Ueltschi, Daniel and Velenik, Yvan (2011) Random permutations with cycle weights. Annals of Applied Probability, Volume 21 (Number 1). pp. 312-331. doi:10.1214/10-AAP697

Betz, Volker and Ueltschi, Daniel (2011) Spatial random permutations with small cycle weights. Probability Theory and Related Fields, Volume 149 (Numbers 1-2). pp. 191-222. doi:10.1007/s00440-009-0248-0

Sims, Robert and Ueltschi, Daniel (2011) Entropy and the quantum II : Arizona School of Analysis with Applications, March 15–19, 2010, University of Arizona. Contemporary mathematics, Vol.552 . Providence, R.I.: American Mathematical Society. ISBN 9780821868980

Goldschmidt, C. (Christina), Ueltschi, Daniel and Windridge, Peter (2011) Quantum Heisenberg models and their probability representations. In: Sims, Robert and Ueltschi, Daniel, (eds.) Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. Contemporary mathematics, Vol.552 . Providence, R.I.: American Mathematical Society, pp. 177-224. ISBN 9780821868980

2010

Betz, Volker and Ueltschi, Daniel (2010) Critical temperature of dilute Bose gases. Physical Review A, Vol.81 (No.2). Article no. 023611. doi:10.1103/PhysRevA.81.023611

Sims, Robert and Ueltschi, Daniel (2010) Entropy and the quantum. Contemporary mathematics, Vol.529 . Providence, RI: American Mathematical Society. ISBN 9780821852477

2009

Seiringer, Robert and Ueltschi, Daniel (2009) Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B (Condensed Matter and Materials Physics), Vol.80 (No.1). 014502. doi:10.1103/PhysRevB.80.014502

Poghosyan, Suren and Ueltschi, Daniel (2009) Abstract cluster expansion with applications to statistical mechanical systems. Journal of Mathematical Physics, Vol.50 (No.5). p. 3509. doi:10.1063/1.3124770

Betz, Volker and Ueltschi, Daniel (2009) Spatial random permutations and infinite cycles. Communications in Mathematical Physics, Vol.285 (No.2). pp. 469-501. doi:10.1007/s00220-008-0584-4

2008

Ueltschi, Daniel (2008) The model of interlacing spatial permutations and its relation to the bose gas. In: Beltita , Ingrid and Nenciu , Gheorghe and Purice , Radu , (eds.) Mathematical results in quantum mechanics : Proceedings of the QMath10 Conference. Hackensack, NJ: World Sci. Publ., pp. 255-272. ISBN 9789812832382

2007

Gandolfo, Daniel, Ruiz, Jean and Ueltschi, Daniel (2007) On a model of random cycles. Journal of Statistical Physics, Volume 129 (Number 4). pp. 663-676. doi:10.1007/s10955-007-9410-1