/~tbudd/publication/ Recent content in Papers on Timothy Budd Hugo -- gohugo.io en-us © 2017 Timothy Budd Sun, 01 Jan 2017 00:00:00 +0000 /~tbudd/publication/wptreebijection/ Wed, 10 Dec 2025 00:00:00 +0000 /~tbudd/publication/wptreebijection/ /~tbudd/publication/rigidquadrangulations/ Mon, 29 Sep 2025 00:00:00 +0000 /~tbudd/publication/rigidquadrangulations/ /~tbudd/publication/wpbrowniansphere/ Wed, 27 Aug 2025 00:00:00 +0000 /~tbudd/publication/wpbrowniansphere/ /~tbudd/publication/treedecorateddt/ Thu, 03 Jul 2025 00:00:00 +0000 /~tbudd/publication/treedecorateddt/ /~tbudd/publication/lengthspectrum/ Tue, 03 Jun 2025 00:00:00 +0000 /~tbudd/publication/lengthspectrum/ /~tbudd/publication/tightrecursion/ Tue, 11 Jul 2023 00:00:00 +0000 /~tbudd/publication/tightrecursion/ /~tbudd/publication/twodgravitychapter/ Tue, 06 Dec 2022 00:00:00 +0000 /~tbudd/publication/twodgravitychapter/ /~tbudd/publication/treemating/ Tue, 12 Jul 2022 00:00:00 +0000 /~tbudd/publication/treemating/ /~tbudd/publication/tripletrees/ Wed, 30 Mar 2022 00:00:00 +0000 /~tbudd/publication/tripletrees/ Citations Loll, R., G. Fabiano, D. Frattulillo, and F. Wagner. “Quantum Gravity in 30 Questions.” arXiv preprint arXiv:2206.06762 (2022). Budd, Timothy, and Alicia Castro. “Scale-invariant random geometry from mating of trees: a numerical study.” arXiv preprint arXiv:2207.05355 (2022). Brunekreef, J. and Loll, R. “On the Nature of Spatial Universes in 3D Lorentzian Quantum Gravity”. arXiv preprint arXiv:2208.12718 (2022). /~tbudd/publication/mapswpvolumes/ Mon, 21 Dec 2020 00:00:00 +0000 /~tbudd/publication/mapswpvolumes/ Kazumi, Okuyama, and Sakai Kazuhiro. “FZZT branes in JT gravity and topological gravity.” Journal of High Energy Physics 2021.9 (2021). Bouttier, Jérémie, Emmanuel Guitter, and Grégory Miermont. “Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants.” arXiv preprint arXiv:2104.10084 (2021). Bouttier, Jérémie, Emmanuel Guitter, and Grégory Miermont. “On quasi-polynomials counting planar tight maps.” arXiv preprint arXiv:2203.14796 (2022). Budd, Timothy. “On polynomials counting essentially irreducible maps. /~tbudd/publication/irreduciblemaps/ Fri, 26 Jun 2020 00:00:00 +0000 /~tbudd/publication/irreduciblemaps/ Citations Budd, Timothy. “Irreducible metric maps and Weil-Petersson volumes.” arXiv preprint arXiv:2012.11318 (2020). Bouttier, Jérémie, Emmanuel Guitter, and Grégory Miermont. “Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants.” arXiv preprint arXiv:2104.10084 (2021). Bouttier, Jérémie, Emmanuel Guitter, and Grégory Miermont. “On quasi-polynomials counting planar tight maps.” arXiv preprint arXiv:2203.14796 (2022). /~tbudd/publication/simplepeeling/ Mon, 23 Sep 2019 00:00:00 +0000 /~tbudd/publication/simplepeeling/ Citations Ménard, Laurent. “Percolation probability and critical exponents for site percolation on the UIPT.” arXiv preprint arXiv:2201.11920 (2022). /~tbudd/publication/hausdorffdimensions/ Fri, 23 Aug 2019 00:00:00 +0000 /~tbudd/publication/hausdorffdimensions/ Citations E. Gwynne, “The dimension of the boundary of a Liouville quantum gravity metric ball”, arXiv preprint arXiv::1909.08588 (2019). Gwynne, Ewain. “Random surfaces and Liouville quantum gravity.” arXiv preprint arXiv:1908.05573 (2019). Gwynne E, Holden N, Pfeffer J, Remy G. Liouville Quantum Gravity with Matter Central Charge in (1, 25): A Probabilistic Approach. Communications in Mathematical Physics.:1-53. Lehéricy, Thomas. “Cycles séparants, isopérimétrie et modifications de distances dans les grandes cartes planaires aléatoires. /~tbudd/publication/looppeeling/ Fri, 07 Sep 2018 00:00:00 +0000 /~tbudd/publication/looppeeling/ Citations Borot, Gaëtan, Jérémie Bouttier, and Bertrand Duplantier. “Nesting statistics in the O(n) loop model on random planar maps.” arXiv preprint arXiv:1605.02239 (2016). Budd, Timothy, and Nicolas Curien. “Geometry of infinite planar maps with high degrees.” Electronic Journal of Probability 22 (2017). Chen, Linxiao, Nicolas Curien, and Pascal Maillard. “The perimeter cascade in critical Boltzmann quadrangulations decorated by an $ O (n) $ loop model.” arXiv preprint arXiv:1702.06916 (2017). /~tbudd/publication/winding/ Tue, 12 Sep 2017 00:00:00 +0000 /~tbudd/publication/winding/ Citations Raschel, Kilian, and Amélie Trotignon. “On walks avoiding a quadrant.” arXiv preprint arXiv:1807.08610 (2018). Budd, Timothy. “The peeling process on random planar maps coupled to an O(n) loop model (with an appendix by Linxiao Chen).” arXiv preprint arXiv:1809.02012 (2018). Borot, Gaëtan, Jérémie Bouttier, and Bertrand Duplantier. “Nesting statistics in the O(n) loop model on random planar maps.” arXiv preprint arXiv:1605.02239 (2016). Mishna, Marni, Mireille Bousquet-Mélou, Michael Singer, and Stephen Melczer. /~tbudd/publication/cauchy/ Tue, 18 Apr 2017 00:00:00 +0000 /~tbudd/publication/cauchy/ Citations Bertoin, Jean, et al. “Martingales in self-similar growth-fragmentations and their connections with random planar maps.” Probability Theory and Related Fields (2017): 1-62. Berger, Quentin. “Notes on random walks in the Cauchy domain of attraction.” arXiv preprint arXiv:1706.07924 (2017). Budd, Timothy. “The peeling process on random planar maps coupled to an O (n) loop model (with an appendix by Linxiao Chen).” arXiv preprint arXiv:1809.02012 (2018). Curien, N. and Marzouk, C. /~tbudd/publication/growthfragmentations/ Mon, 02 May 2016 00:00:00 +0000 /~tbudd/publication/growthfragmentations/ Citations Miller, Jason, and Scott Sheffield. “An axiomatic characterization of the Brownian map.” arXiv preprint arXiv:1506.03806 (2015). Budd, Timothy, and Nicolas Curien. “Geometry of infinite planar maps with high degrees.” Electronic Journal of Probability 22 (2017). Rembart, Franz, and Matthias Winkel. “Recursive construction of continuum random trees.” The Annals of Probability 46.5 (2018): 2715-2748. Dadoun, Benjamin. “Asymptotics of self-similar growth-fragmentation processes.” Electronic Journal of Probability 22 (2017). Richier, Loïc. /~tbudd/publication/multicritical/ Fri, 15 Apr 2016 00:00:00 +0000 /~tbudd/publication/multicritical/ Citations Kortchemski, Igor, and Loïc Richier. “Condensation in critical Cauchy Bienaym\‘e-Galton-Watson trees.” arXiv preprint arXiv:1804.10183 (2018). Bondesan, Roberto, Sergio Caracciolo, and Andrea Sportiello. “Critical behaviour of spanning forests on random planar graphs.” Journal of Physics A: Mathematical and Theoretical 50.7 (2017): 074003. Budd, Timothy, and Nicolas Curien. “Geometry of infinite planar maps with high degrees.” Electronic Journal of Probability 22 (2017). Richier, Loïc. “Limits of the boundary of random planar maps. /~tbudd/publication/highdegrees/ Wed, 03 Feb 2016 00:00:00 +0000 /~tbudd/publication/highdegrees/ Citations Kortchemski, Igor, and Loïc Richier. “Condensation in critical Cauchy Bienaym\‘e-Galton-Watson trees.” The Annals of Applied Probability 29.3 (2019): 1837-1877. Bertoin, Jean, et al. “Martingales in self-similar growth-fragmentations and their connections with random planar maps.” Probability Theory and Related Fields (2017): 1-62. Ambjørn, Jan, Timothy Budd, and Yuri Makeenko. “Generalized multicritical one-matrix models.” Nuclear Physics B 913 (2016): 357-380. Chen, Linxiao, Nicolas Curien, and Pascal Maillard. “The perimeter cascade in critical Boltzmann quadrangulations decorated by an $ O (n) $ loop model. /~tbudd/publication/multipoint/ Thu, 04 Jun 2015 00:00:00 +0000 /~tbudd/publication/multipoint/ Citations Curien, Nicolas, and Jean-François Le Gall. “Scaling limits for the peeling process on random maps.” Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. Vol. 53. No. 1. Institut Henri Poincaré, 2017. Budd, Timothy. “The peeling process of infinite Boltzmann planar maps.” The Electronic Journal of Combinatorics 23.1 (2016): P1-28. Budd, Timothy, and Nicolas Curien. “Geometry of infinite planar maps with high degrees.” Electronic Journal of Probability 22 (2017). /~tbudd/publication/peelingmaps/ Thu, 04 Jun 2015 00:00:00 +0000 /~tbudd/publication/peelingmaps/ Citations Curien, Nicolas, and Jean-François Le Gall. “Scaling limits for the peeling process on random maps.” Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. Vol. 53. No. 1. Institut Henri Poincaré, 2017. Bertoin, Jean, Nicolas Curien, and Igor Kortchemski. “Random planar maps and growth-fragmentations.” The Annals of Probability 46.1 (2018): 207-260. Bertoin, Jean, et al. “Martingales in self-similar growth-fragmentations and their connections with random planar maps.” Probability Theory and Related Fields (2017): 1-62. /~tbudd/publication/scaledependent/ Tue, 24 Jun 2014 00:00:00 +0000 /~tbudd/publication/scaledependent/ Citations Sato, Yuki, and Tomo Tanaka. “Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations.” Physical Review D 98.2 (2018): 026026. Jan Ambjørn, Yuki Sato, Tomo Tanaka, “Towards elucidation of zero-temperature criticality of Ising model on 2d DT”, arXiv preprint arXiv:2003.08524 (2020). /~tbudd/publication/liouville/ Wed, 14 May 2014 00:00:00 +0000 /~tbudd/publication/liouville/ Citations Borot, Gaëtan, Jérémie Bouttier, and Bertrand Duplantier. “Nesting statistics in the O(n) loop model on random planar maps.” arXiv preprint arXiv:1605.02239 (2016). Sheffield, Scott. “Conformal weldings of random surfaces: SLE and the quantum gravity zipper.” The Annals of Probability 44.5 (2016): 3474-3545. Ding, Jian, and Fuxi Zhang. “Non-universality for first passage percolation on the exponential of log-correlated Gaussian fields.” Probability Theory and Related Fields (2015): 1-32. Ding, Jian, and Subhajit Goswami. /~tbudd/publication/quantumgeometry/ Thu, 31 Oct 2013 00:00:00 +0000 /~tbudd/publication/quantumgeometry/ /~tbudd/publication/toruscdt/ Tue, 21 May 2013 00:00:00 +0000 /~tbudd/publication/toruscdt/ Citations Ambjørn, Jan, et al. “Quantum gravity via causal dynamical triangulations.” Springer Handbook of Spacetime. Springer, Berlin, Heidelberg, 2014. 723-741. Jordan, Samo, and Renate Loll. “De Sitter universe from causal dynamical triangulations without preferred foliation.” Physical Review D 88.4 (2013): 044055. Benedetti, Dario, and Joe Henson. “Spacetime condensation in (2+ 1)-dimensional CDT from a Hořava–Lifshitz minisuperspace model.” Classical and Quantum Gravity 32.21 (2015): 215007. Cooperman, Joshua H. “Making the case for causal dynamical triangulations. /~tbudd/publication/toroidaldimension/ Thu, 16 May 2013 00:00:00 +0000 /~tbudd/publication/toroidaldimension/ Citations Borot, Gaëtan, Jérémie Bouttier, and Bertrand Duplantier. “Nesting statistics in the O(n) loop model on random planar maps.” arXiv preprint arXiv:1605.02239 (2016). Ambjørn, Jan, and T. G. Budd. “Geodesic distances in Liouville quantum gravity.” Nuclear Physics B 889 (2014): 676-691. Ambjørn, Jan, et al. “The spectral dimension in 2D CDT gravity coupled to scalar fields.” Modern Physics Letters A 30.13 (2015): 1550077. Ambjørn, J., and T. Budd. “Two-dimensional Quantum Geometry. /~tbudd/publication/semiclassicaldt/ Thu, 07 Feb 2013 00:00:00 +0000 /~tbudd/publication/semiclassicaldt/ Citations Maltz, Jonathan. “Gauge invariant computable quantities in timelike Liouville theory.” Journal of High Energy Physics 2013.1 (2013): 151. Ambjørn, J., and Timothy Budd. “The toroidal Hausdorff dimension of 2d Euclidean quantum gravity.” Physics Letters B 724.4-5 (2013): 328-332. Ambjørn, Jan, et al. “The spectral dimension in 2D CDT gravity coupled to scalar fields.” Modern Physics Letters A 30.13 (2015): 1550077. Maltz, Jonathan David. Towards a String Theory Model of de Sitter Space and Early Universe Cosmology. /~tbudd/publication/generalizedcdt/ Thu, 07 Feb 2013 00:00:00 +0000 /~tbudd/publication/generalizedcdt/ Citations Bettinelli, Jérémie, Emmanuel Jacob, and Grégory Miermont. “The scaling limit of uniform random plane maps, via the Ambjørn–Budd bijection.” Electron. J. Probab 19.74 (2014): 1-16. Miermont, Grégory. “Aspects of random maps.” Saint-Flour lecture notes (2014). Chapuy, Guillaume, and Maciej Dołęga. “A bijection for rooted maps on general surfaces.” Journal of Combinatorial Theory, Series A 145 (2017): 252-307. Schaeffer, Gilles. “Planar maps.” Handbook of enumerative combinatorics 87 (2015): 335. /~tbudd/publication/phdthesis/ Tue, 20 Mar 2012 00:00:00 +0000 /~tbudd/publication/phdthesis/ /~tbudd/publication/effectivekineticscdt/ Mon, 24 Oct 2011 00:00:00 +0000 /~tbudd/publication/effectivekineticscdt/ Citations Ambjørn, Jan, et al. “Nonperturbative quantum gravity.” Physics Reports 519.4-5 (2012): 127-210. Anderson, Christian, et al. “Quantizing Hořava-Lifshitz gravity via causal dynamical triangulations.” Physical Review D 85.4 (2012): 044027. Ambjørn, Jan, et al. “Quantum gravity via causal dynamical triangulations.” Springer Handbook of Spacetime. Springer, Berlin, Heidelberg, 2014. 723-741. Koslowski, Tim A. “Shape dynamics and effective field theory.” International Journal of Modern Physics A 28.13 (2013): 1330017. Benedetti, Dario, and Joe Henson. /~tbudd/publication/roamingmodulispace/ Thu, 20 Oct 2011 00:00:00 +0000 /~tbudd/publication/roamingmodulispace/ Citations David, François, Rémi Rhodes, and Vincent Vargas. “Liouville quantum gravity on complex tori.” Journal of Mathematical physics 57.2 (2016): 022302. Ambjørn, Jan, and T. G. Budd. “Geodesic distances in Liouville quantum gravity.” Nuclear Physics B 889 (2014): 676-691. David, François, and Bertrand Eynard. “Planar maps, circle patterns and 2d gravity.” arXiv preprint arXiv:1307.3123 (2013). Guillarmou, Colin, Rémi Rhodes, and Vincent Vargas. “Polyakov’s formulation of $2 d $ bosonic string theory. /~tbudd/publication/babyuniverses/ Tue, 18 Oct 2011 00:00:00 +0000 /~tbudd/publication/babyuniverses/ Citations Ambjørn, Jan, and T. G. Budd. “Geodesic distances in Liouville quantum gravity.” Nuclear Physics B 889 (2014): 676-691. Avetisov, Vladik, et al. “Spontaneous symmetry breaking and phase coexistence in two-color networks.” Physical Review E 93.1 (2016): 012302. Ambjørn, Jan, and Timothy George Budd. “Semi-classical dynamical triangulations.” Physics Letters B 718.1 (2012): 200-204. Ambjørn, J., and Timothy Budd. “The toroidal Hausdorff dimension of 2d Euclidean quantum gravity.” Physics Letters B 724. /~tbudd/publication/shapedynamics/ Thu, 07 Jul 2011 00:00:00 +0000 /~tbudd/publication/shapedynamics/ Citations Gomes, Henrique, and Tim Koslowski. “The link between general relativity and shape dynamics.” Classical and Quantum Gravity 29.7 (2012): 075009. Anderson, Edward. “The problem of time and quantum cosmology in the relational particle mechanics arena.” arXiv preprint arXiv:1111.1472 (2011). Mercati, Flavio. “A shape dynamics tutorial.” arXiv preprint arXiv:1409.0105 (2014). Khoury, Justin, Godfrey EJ Miller, and Andrew J. Tolley. “Spatially covariant theories of a transverse, traceless graviton: Formalism.” Physical Review D 85. /~tbudd/publication/fundamentaldiscreteness/ Thu, 18 Jun 2009 00:00:00 +0000 /~tbudd/publication/fundamentaldiscreteness/ Citations Alexandrov, Sergei, and Philippe Roche. “Critical overview of loops and foams.” Physics Reports 506.3-4 (2011): 41-86. Achour, Jibril Ben, et al. “Spectra of geometric operators in three-dimensional loop quantum gravity: From discrete to continuous.” Physical Review D 89.6 (2014): 064064. van de Meent, Maarten. “Piecewise flat gravity in 3+ 1 dimensions.” arXiv preprint arXiv:1111.6468 (2011). Meusburger, C. “Spacetime Geometry in (2+ 1)‐gravity via Measurements with Returning Lightrays.” AIP Conference Proceedings. /~tbudd/publication/masterthesis/ Mon, 27 Aug 2007 00:00:00 +0000 /~tbudd/publication/masterthesis/