Staff profile

• Mathematical and computational aspects of X-ray crystallography
• Riemannian Geometry
• Graph Theory
• Global Analysis

• Pure Mathematics: Geometry

Authored book

• Cornelissen, Gunther & Peyerimhoff, Norbert (2023). Twisted Isospectrality, Homological Wideness, and Isometry. Springer.
• Huettenhofer, M., Lesch, M. & Peyerimhoff, N. (1994). Mathematik in Anwendung mit C++. Heidelberg, Germany: Quelle & Meyer.

Chapter in book

• Liu, Shiping, Peyerimhoff, Norbert & Vdovina, Alina (2020). Signatures, Lifts, and Eigenvalues of Graphs. In Discrete and Continuous Models in the Theory of Networks. Atay, Fatihcan M., Kurasov, Pavel B. & Mugnolo, Delio Birkhäuser. 281: 255-269.
• Cushing, David, Liu, Shiping, Muench, Florentin & Peyerimhoff, Norbert (2020). Curvature Calculations for Antitrees. In Analysis and Geometry on Graphs and Manifolds. Keller, Matthias, Lenz, Daniel & Wojciechowski, Radoslaw K. Cambridge: Cambridge University Press. 461: 21-54.

Conference Proceeding

• Peyerimhoff, N. (2001). Isoperimetric and ergodic properties of horospheres in symmetric spaces. Smooth Ergodic Theory and Its Applications, University of Washington, Seattle, American Mathematical Society.

Journal Article

• Oughton, Rachel H., Wheadon, Dan M., Bolden, David S., Nichols, Kathryn, Fearn, Sam, Darwin, Sophia, Dixon-Jones, Sarah, Mistry, Mrita, Peyerimhoff, Norbert & Townsend, Adam (2023). Going round in circles: Geometry in the early years. Mathematics Teaching 286: 29-34.
• Peyerimhoff, Norbert, Roth, Marc, Schmitt, Johannes, Stix, Jakob, Vdovina, Alina & Wellnitz, Philip (2023). Parameterized Counting and Cayley Graph Expanders. SIAM Journal on Discrete Mathematics 37(2): 405-486.
• Liu, Shiping, Münch, Florentin & Peyerimhoff, Norbert (2022). Rigidity properties of the hypercube via Bakry–Émery curvature. Mathematische Annalen
• Oughton, Rachel, Nichols, Kathryn, Bolden, David S., Dixon-Jones, Sarah, Fearn, Sam, Darwin, Sophia, Mistry, Mrita, Peyerimhoff, Norbert & Townsend, Adam (2022). Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians. Mathematical Thinking and Learning
• Meurer, Florian, Dolomanov, Oleg V., Hennig, Christoph, Peyerimhoff, Norbert, Kleemiss, Florian, Puschmann, Horst & Bodensteiner, Michael (2022). Refinement of anomalous dispersion correction parameters in single-crystal structure determinations. IUCrJ 9(5): 604.
• Cushing, David, Kamtue, Supanat, Liu, Shiping & Peyerimhoff, Norbert (2022). Bakry-Émery curvature on graphs as an eigenvalue problem. Calculus of Variations and Partial Differential Equations 61: 62.
• Egidi, Michela Liu, Shiping Muench, Florentin & Peyerimhoff, Norbert (2021). Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds. Communication in Analysis and Geometry 29(5): 1127-1156.
• Midgley, Laura, Bourhis, Luc J., Dolomanov, Oleg V., Grabowsky, Simon, Kleemiss, Florian, Puschmann, Horst & Peyerimhoff, Norbert (2021). Vanishing of the atomic form factor derivatives in non-spherical structural refinement – a key approximation scrutinized in the case of Hirshfeld atom refinement. Acta Crystallographica Section A Foundations and Advances 77(6): 519.
• Keller, Matthias, Liu, Shiping & Peyerimhoff, Norbert (2021). A note on eigenvalue bounds for non-compact manifolds. Mathematische Nachrichten 294(6): 1134-1139.
• Biswas, Kingshook Knieper, Gerhard & Peyerimhoff, Norbert (2021). The Fourier Transform on harmonic manifolds of purely exponential volume growth. The Journal of Geometric Analysis 31(1): 126-163.
• Cushing, David, Kamtue, Supanat, Kangaslampi, Riikka, Liu, Shiping & Peyerimhoff, Norbert (2021). Curvatures, Graph Products and Ricci Flatness. Journal of Graph Theory 96(4): 522-553.
• Kleemiss, Florian, Dolomanov, Oleg V., Bodensteiner, Michael, Peyerimhoff, Norbert, Midgley, Laura, Bourhis, Luc J., Genoni, Alessandro, Malaspina, Lorraine A., Jayatilaka, Dylan, Spencer, John L, White, Fraser, Grundkötter-Stock, Bernhard, Steinhauer, Simon, Lentz, Dieter, Puschmann, Horst & Grabowsky, Simon (2021). Accurate Crystal Structures and Chemical Properties from NoSpherA2. Chemical Science 12: 1675-1692.
• Cushing, David, Kamtue, Supanat, Liu, Shiping, Muench, Florentin & Peyerimhoff, Norbert (2020). Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature. Advances in Mathematics 369: 107188.
• Knieper, Gerhard, Parker, John R & Peyerimhoff, Norbert (2020). Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces. Differential Geometry and its Applications 69: 101605.
• Peyerimhoff, Norbert & Taeufer, Matthias (2020). Eigenfunctions and the Integrated Density of States on Archimedean Tilings. Journal of Spectral Theory 11(2): 461-488.
• Cushing, David, Liu, Shiping & Peyerimhoff, Norbert (2020). Bakry-Émery Curvature Functions on Graphs. Canadian Journal of Mathematics 72(1): 89-143.
• Peyerimhoff, Norbert & Samiou, Evangelia (2020). A support theorem for the X-ray transform on manifolds with plane covers. Mathematical Proceedings of the Cambridge Philosophical Society 169(1): 149-158.
• Cushing, David, Kamtue, Supanat, Peyerimhoff, Norbert & Watson May, Leyna (2020). Quartic graphs which are Bakry-Émery curvature sharp. Discrete Mathematics 343(3): 111767.
• Ivrissimtzis, Ioannis, Peyerimhoff, Norbert & Vdovina, Alina (2019). Trivalent expanders, $(Delta – Y)$-transformation, and hyperbolic surfaces. Groups, Geometry, and Dynamics 13(3): 1103-1131.
• Liu, Shiping, Münch, Florentin, Peyerimhoff, Norbert & Rose, Christian (2019). Distance Bounds for Graphs with Some Negative Bakry-Émery Curvature. Analysis and Geometry in Metric Spaces 7(1): 1-14.
• Liu, Shiping, Muench, Florentin & Peyerimhoff, Norbert (2019). Curvature and higher order Buser inequalities for the graph connection Laplacian. SIAM Journal on Discrete Mathematics (SIDMA) 33(1): 257-305.
• Parker, John R, Peyerimhoff, Norbert & Siburg, Karl Friedrich (2018). Minimizing length of billiard trajectories in hyperbolic polygons. Conformal Geometry and Dynamics 22: 315-332.
• Bourne, D.P., Cushing, D., Liu, S., Muench, F. & Peyerimhoff, N. (2018). Ollivier-Ricci idleness functions of graphs. SIAM Journal on Discrete Mathematics 32(2): 1408-1424.
• Liu, Shiping & Peyerimhoff, Norbert (2018). Eigenvalue ratios of non-negatively curved graphs. Combinatorics, probability and computing 27(5): 829-850.
• Liu, Shiping, Münch, Florentin & Peyerimhoff, Norbert (2018). Bakry–Émery curvature and diameter bounds on graphs. Calculus of Variations and Partial Differential Equations 57(2): 67.
• Peyerimhoff, N., Täufer, M. & Veselić, I. (2017). Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum space. Nanosystems: Physics, Chemistry, Mathematics 8(2): 216-230.
• Keller, Matthias, Peyerimhoff, Norbert & Pogorzelski, Felix (2017). Sectional curvature of polygonal complexes with planar substructures. Advances in Mathematics 307: 1070-1107.
• Knieper, Gerhard & Peyerimhoff, Norbert (2016). Harmonic Functions on Rank One Asymptotically Harmonic Manifolds. The Journal of Geometric Analysis 26(2): 750-781.
• Lange, Carsten, Liu, Shiping, Peyerimhoff, Norbert & Post, Olaf (2015). Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians. Calculus of Variations and Partial Differential Equations 54(4): 4165-4196.
• Knieper, G. & Peyerimhoff, N. (2015). Geometric properties of rank one asymptotically harmonic manifolds. Journal of Differential Geometry 100(3): 507-532.
• Leonhardt, Karsten, Peyerimhoff, Norbert, Tautenhahn, Manfred & Veselic, Ivan (2015). Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials. Reviews in Mathematical Physics 27(04): 1550007.
• Peyerimhoff, Norbert & Samiou, Evangelia (2015). Integral Geometric Properties of Non-compact Harmonic Spaces. The Journal of Geometric Analysis 25(1): 122.
• Barker, N., Boston, N., Peyerimhoff, N. & Vdovina, A. (2015). An infinite family of 2-groups with mixed Beauville structures. International Mathematics Research Notices 2015(11): 3598-3618.
• Gittins, K., Peyerimhoff, N., Stoiciu, M. & Wirosoetisno, D. (2012). Some spectral applications of McMullen's Hausdorff dimension algorithm. Conformal geometry and dynamics 16(10): 184-203.
• Keller, M & Peyerimhoff, N (2011). Cheeger constants, growth and spectrum of locally tessellating planar graphs. Mathematische Zeitschrift 268(3-4): 871-886.
• Peyerimhoff, N & Vdovina, A (2011). Cayley graph expanders and groups of finite width. Journal of Pure and Applied Algebra 215(11): 2780-2788.
• Castle, S., Peyerimhoff, N. & Siburg, K. F. (2011). Billiards in ideal hyperbolic polygons. Discrete and Continuous Dynamical Systems - Series A 29(3): 893-908.
• Peyerimhoff, N. & Samiou, E. (2010). Spherical spectral synthesis and two-radius theorems on Damek-Ricci spaces. Arkiv för Matematik 48(1): 131-147.
• Lenz, D., Peyerimhoff, N., Post, O. & Veselic, I. (2009). Continuity of the integrated density of states on random length metric graphs. Mathematical Physics, Analysis and Geometry 12(3): 219-254.
• Lenz, D., Peyerimhoff, N., Post, O. & Veselic, I. (2008). Continuity properties of the integrated density of states on manifolds. Japanese Journal of Mathematics 3(1): 121-161.
• Knieper, G. & Peyerimhoff, N. (2008). Ergodic properties of isoperimetric domains in spheres. Journal of Modern Dynamics 2(2): 339-358.
• Karp, L. & Peyerimhoff, N. (2007). Geometric heat comparison criteria for Riemannian manifolds. Annals of Global Analysis and Geometry 31: 115-145.
• Lenz, D., Veselic, I. & Peyerimhoff, N. (2007). Groupoids, von Neumann algebras and the integrated density of states. Mathematical Physics, Analysis and Geometry 10(1): 1-41.
• Klassert, S., Lenz, D., Peyerimhoff, N. & Stollmann, P. (2006). Elliptic operators on planar graphs: unique continuation for eigenfunctions and nonpositive curvature. Proceedings of the American Mathematical Society 134(5): 1549-1559.
• Baues, O. & Peyerimhoff, N. (2006). Geodesics in non-positively curved plane tessellations. Advances in Geometry 6(2): 243-263.
• Peyerimhoff, N. (2006). Spherical means on compact locally symmetric spaces of non-positive curvature. Forum Mathematicum 18(3): 391-417.
• Lenz, D., Peyerimhoff, N. & Veselic, I. (2004). Integrated density of states for random metrics on manifolds. Proceedings of the London Mathematical Society 88(3): 733-752.
• Peyerimhoff, N. & Samiou, E. (2004). The Cheeger constant of simply connected, solvable Lie groups. Proceedings of the American Mathematical Society 132(5): 1525-1529.
• Lenz, D., Peyerimhoff, N. & Veselic, I. (2003). Random Schroedinger operators on manifolds. Markov Processes and Related Fields 9: 717-728.
• Peyerimhoff, N. & Siburg, K. F. (2003). The dynamics of magnetic flows for energies above Mane's critical value. Israel Journal of Mathematics 135: 269-298.
• Peyerimhoff, N. (2002). Simplices of maximal volume or minimal total edge length in hyperbolic space. Journal of the London Mathematical Society 66(3): 753-768.
• Peyerimhoff, N. & Veselić, I. (2002). Integrated density of states for ergodic random Schrödinger operators on manifolds. Geometriae Dedicata 91(1): 117-135.
• Karp, L. & Peyerimhoff, N. (2002). Extremal properties of the principal Dirichlet eigenvalue for regular polygons in the hyperbolic plane. Archiv der Mathematik 79: 223-231.
• Baues, O. & Peyerimhoff, N. (2001). Curvature and Geometry of Tessellating Plane Graphs. Discrete and Computational Geometry 25(1): 141-159.
• Karp, L. & Peyerimhoff, N. (2000). Spectral gaps of Schroedinger operators on hyperbolic space. Mathematical News / Mathematische Nachrichten 217: 105-124.
• Karp, L. & Peyerimhoff, N. (1999). Horospherical means and uniform distribution of curves of constant geodesic curvature. Mathematische Zeitschrift 231: 655-677.
• Karp, L. & Peyerimhoff, N. (1998). On the distribution of hypersurfaces equidistant from totally geodesic submanifolds in hyperbolic space. Analysis 18: 217-225.
• Lesch, M. & Peyerimhoff, N. (1998). On index formulas for manifolds with metric horns. Communications in partial differential equations 23(3 & 4): 649-684.
• Peyerimhoff, N. (1997). Areas and intersections in convex domains. American Mathematical Monthly 104(8): 697-704.
• Bruening, J., Peyerimhoff, N. & Schroeder,H. (1990). The del-bar-operator on algebraic curves. Communications in mathematical physics 129: 525-534.