Publications

Publications

• Probabilistic Definition of the Schwarzian Field Theory R. Bauerschmidt, I. Losev, P. Wildemann Preprint
• Kawasaki dynamics beyond the uniqueness threshold R. Bauerschmidt, T. Bodineau, B. Dagallier Probab. Theory Related Fields, (2024+)
• Stochastic dynamics and the Polchinski equation: An introduction R. Bauerschmidt, T. Bodineau, B. Dagallier Probab. Surv., 21, 200–290, (2024)
• Log-Sobolev inequality for near critical Ising models R. Bauerschmidt, B. Dagallier Comm. Pure Appl. Math., 77, 2568–2576, (2024)
• Log-Sobolev inequality for the φ⁴₂ and φ⁴₃ R. Bauerschmidt, B. Dagallier Comm. Pure Appl. Math., 77, 2579–2612, (2024)
• The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature R. Bauerschmidt, J. Park, P.-F. Rodriguez Ann. Probab., 52, 1360–1398, (2024)
• The Discrete Gaussian model, I. Renormalisation group flow at high temperature R. Bauerschmidt, J. Park, P.-F. Rodriguez Ann. Probab., 52, 1253–1359, (2024)
• Percolation transition for random forests in d≥ 3 R. Bauerschmidt, N. Crawford, T. Helmuth Invent. Math., 237, 445–540, (2024)
• The Coleman correspondence at the free fermion point R. Bauerschmidt, C. Webb J. Eur. Math. Soc. (JEMS), 26, 3137–3241, (2024)
• Maximum and coupling of the sine-Gordon field R. Bauerschmidt, M. Hofstetter Ann. Probab., 50, 455–508, (2022)
• Random Spanning Forests and Hyperbolic Symmetry R. Bauerschmidt, N. Crawford, T. Helmuth, A. Swan Commun. Math. Phys., 381, 1223–1261, (2021)
• Mean-field tricritical polymers R. Bauerschmidt, G. Slade Probab. Math. Phys., 1, 167–204, (2020)
• Edge rigidity and universality of random regular graphs of intermediate degree R. Bauerschmidt, J. Huang, A. Knowles, H.-T. Yau Geom. Funct. Anal., 30, 693–769, (2020)
• Log-Sobolev inequality for the continuum sine-Gordon model R. Bauerschmidt, T. Bodineau Comm. Pure Appl. Math., 74, 2064–2113, (2021)
• Three-dimensional tricritical spins and polymers R. Bauerschmidt, M. Lohmann, G. Slade J. Math. Phys., 61, 033302, 30, (2020)
• The geometry of random walk isomorphism theorems R. Bauerschmidt, T. Helmuth, A. Swan Ann. Inst. Henri Poincaré Probab. Stat., 57, 408–454, (2021)
• Spectral Gap Critical Exponent for Glauber Dynamics of Hierarchical Spin Models R. Bauerschmidt, T. Bodineau Commun. Math. Phys., 373, 1167–1206, (2020)
• The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem R. Bauerschmidt, P. Bourgade, M. Nikula, H.-T. Yau Adv. Theor. Math. Phys., 23, 841–1002, (2019)
• Dynkin isomorphism and Mermin–Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process R. Bauerschmidt, T. Helmuth, A. Swan Ann. Probab., 47, 3375–3396, (2019)
• Dislocation Lines in Three-Dimensional Solids at Low Temperature R. Bauerschmidt, D. Conache, M. Heydenreich, F. Merkl, S.W.W. Rolles Ann. Henri Poincaré, 20, 3019–3057, (2019)
• Local Kesten-McKay law for random regular graphs R. Bauerschmidt, J. Huang, H.-T. Yau Commun. Math. Phys., 369, 523–636, (2019)
• A very simple proof of the LSI for high temperature spin systems R. Bauerschmidt, T. Bodineau J. Funct. Anal., 276, 2582–2588, (2019)
• Bulk eigenvalue statistics for random regular graphs R. Bauerschmidt, J. Huang, A. Knowles, H.-T. Yau Ann. Probab., 45, 3626–3663, (2017)
• Local density for two-dimensional one-component plasma R. Bauerschmidt, P. Bourgade, M. Nikula, H.-T. Yau Commun. Math. Phys., 356, 189–230, (2017)
• Local semicircle law for random regular graphs R. Bauerschmidt, A. Knowles, H.-T. Yau Comm. Pure Appl. Math., 70, 1898–1960, (2017)
• Four-dimensional weakly self-avoiding walk with contact self-attraction R. Bauerschmidt, G. Slade, B.C. Wallace J. Stat. Phys., 167, 317–350, (2017) (Errata)
• Finite-order correlation length for four-dimensional weakly self-avoiding walk and |φ|⁴ spins R. Bauerschmidt, G. Slade, A. Tomberg, B.C. Wallace Ann. Henri Poincaré, 18, 375–402, (2017) (Errata)
• Critical two-point function of the 4-dimensional weakly self-avoiding walk R. Bauerschmidt, D.C. Brydges, G. Slade Commun. Math. Phys., 338, 169–193, (2015)
• Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis R. Bauerschmidt, D.C. Brydges, G. Slade Commun. Math. Phys., 337, 817–877, (2015) (Errata)
• A renormalisation group method. III. Perturbative analysis R. Bauerschmidt, D.C. Brydges, G. Slade J. Stat. Phys., 159, 492–529, (2015) (Errata) (Code)
• Structural stability of a dynamical system near a non-hyperbolic fixed point R. Bauerschmidt, D.C. Brydges, G. Slade Ann. Henri Poincaré, 16, 1033–1065, (2015) (Errata)
• Scaling limits and critical behaviour of the 4-dimensional n-component |φ|⁴ spin model R. Bauerschmidt, D.C. Brydges, G. Slade J. Stat. Phys., 157, 692–742, (2014) (Errata)
• Fluctuations in a kinetic transport model for quantum friction R. Bauerschmidt, W. Roeck, J. Fröhlich J. Phys. A, 47, 275003, 15, (2014)
• A simple method for finite range decomposition of quadratic forms and Gaussian fields R. Bauerschmidt Probab. Theory Related Fields, 157, 817–845, (2013)

Book

• Introduction to a renormalisation group method R. Bauerschmidt, D.C. Brydges, G. Slade Lecture Notes in Mathematics, 2242, xii+281, (2019) (Errata)

Proceedings

• Spin systems with hyperbolic symmetry: a survey R. Bauerschmidt, T. Helmuth ICM–-International Congress of Mathematicians. Vol. 5. Sections 9–11
• Renormalisation group analysis of 4D spin models and self-avoiding walk R. Bauerschmidt, D.C. Brydges, G. Slade Proceedings ICMP 2015
• Lectures on self-avoiding walks R. Bauerschmidt, H. Duminil-Copin, J. Goodman, G. Slade Clay Math. Proc., 15, 395–467, (2012)