Source ledger
References
918 bibliography records ground the catalog in original papers, established surveys and monographs, institutional problem lists, and formal-proof archives.
Complete bibliography
918 records
- Logunov2018NodalHypersurfacesOpen source ↗
Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure
2018 · misc
Alexander Logunov, “Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure,” Ann. of Math. 187 (2018), 221–239, DOI 10.4007/annals.2018.187.1.4.
- Lueck2025FJSurveyOpen source ↗
Survey on the Farrell–Jones conjecture
2025 · misc
Wolfgang Lück, “Survey on the Farrell–Jones conjecture,” 2025, arXiv: 2507.11337.
- LukStrain2014VlasovCriterionOpen source ↗
A new continuation criterion for the relativistic Vlasov–Maxwell system
2014 · misc
Jonathan Luk and Robert M. Strain, “A new continuation criterion for the relativistic Vlasov–Maxwell system,” Comm. Math. Phys. 331 (2014), 1005–1027, DOI 10.1007/s00220-014-2108-8.
- Lyubich1983StabilityRationalMaps
Some typical properties of the dynamics of rational mappings
1983 · misc
Mikhail Lyubich, “Some typical properties of the dynamics of rational mappings,” Russian Math. Surveys 38 (1983), 154–155.
- Lyubich1997DynamicsQuadraticsOpen source ↗
Dynamics of quadratic polynomials. I, II
1997 · misc
Mikhail Lyubich, “Dynamics of quadratic polynomials. I, II,” Acta Math. 178 (1997), 185–297, DOI 10.1007/BF02392694.
- ManeSadSullivan1983DynamicsRationalMapsOpen source ↗
On the dynamics of rational maps
1983 · misc
Ricardo Mañé, Paulo Sad and Dennis Sullivan, “On the dynamics of rational maps,” Ann. Sci. École Norm. Sup. 16 (1983), 193–217, DOI 10.24033/asens.1442.
- Manning1974AnosovInfraNilOpen source ↗
Anosov diffeomorphisms on nilmanifolds
1973 · misc
Anthony Manning, “Anosov diffeomorphisms on nilmanifolds,” Proc. Amer. Math. Soc. 38 (1973), 423–426, DOI 10.1090/S0002-9939-1973-0310918-4.
- McMullen1994ComplexDynamicsRenormalization
Complex Dynamics and Renormalization
1994 · misc
Curtis T. McMullen, Complex Dynamics and Renormalization, Annals of Mathematics Studies 135, Princeton Univ. Press, 1994.
- MontgomeryZippin1955TransformationGroupsOpen source ↗
Topological Transformation Groups
1955 · misc
Deane Montgomery and Leo Zippin, Topological Transformation Groups, Interscience, 1955, DOI 10.1002/9781118165620.
- MurakamiMurakami2001ColoredJonesOpen source ↗
The colored Jones polynomials and the simplicial volume of a knot
2001 · misc
Hitoshi Murakami and Jun Murakami, “The colored Jones polynomials and the simplicial volume of a knot,” Acta Math. 186 (2001), 85–104, DOI 10.1007/BF02392739.
- Nachtergaele1996SpectralGap
The spectral gap for some spin chains with discrete symmetry breaking
1996 · misc
Bruno Nachtergaele, “The spectral gap for some spin chains with discrete symmetry breaking,” Comm. Math. Phys. 175 (1996), 565–606.
- Nam2012NewBoundsIonizationOpen source ↗
New bounds on the maximum ionization of atoms
2012 · misc
Phan Thành Nam, “New bounds on the maximum ionization of atoms,” Comm. Math. Phys. 312 (2012), 427–445, DOI 10.1007/s00220-012-1479-y.
- NiWu2015CosmeticOpen source ↗
Cosmetic surgeries on knots in S^3
2013 · misc
Yi Ni and Zhongtao Wu, “Cosmetic surgeries on knots in S^3,” J. Reine Angew. Math. 706 (2015), 1–17, DOI 10.1515/crelle-2013-0067.
- Novikov1970PontryaginClasses
Algebraic construction and properties of Hermitian analogues of K-theory over rings with involution from the viewpoint of Hamiltonian formalism
1970 · misc
S. P. Novikov, “Algebraic construction and properties of Hermitian analogues of K-theory over rings with involution from the viewpoint of Hamiltonian formalism,” Math. USSR Izv. 4 (1970), 257–292.
- Pardon2013HilbertSmithOpen source ↗
The Hilbert–Smith conjecture for three-manifolds
2013 · misc
John Pardon, “The Hilbert–Smith conjecture for three-manifolds,” J. Amer. Math. Soc. 26 (2013), 879–899, DOI 10.1090/S0894-0347-2013-00766-3.
- Patri2026SeparableQuotientOpen source ↗
Mazur's separable quotient problem for nonseparable Bourgain–Pisier L_-spaces
2026 · misc
Kartik Patri, “Mazur's separable quotient problem for nonseparable Bourgain–Pisier L_-spaces,” 2026, arXiv: 2604.11832.
- Penrose1969GravitationalCollapseOpen source ↗
Gravitational collapse: the role of general relativity
1969 · misc
Roger Penrose, “Gravitational collapse: the role of general relativity,” Riv. Nuovo Cimento 1 (1969), 252–276, DOI 10.1023/A:1016578408204.
- Penrose1979SingularitiesTimeAsymmetry
Singularities and time-asymmetry
1979 · misc
Roger Penrose, “Singularities and time-asymmetry,” in General Relativity: An Einstein Centenary Survey, Cambridge Univ. Press, 1979, 581–638.
- PetracheSerfaty2020CoulombCrystallizationOpen source ↗
Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn–Kumar conjecture
2020 · misc
Mircea Petrache and Sylvia Serfaty, “Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn–Kumar conjecture,” Proc. Amer. Math. Soc. 148 (2020), 3047–3057, DOI 10.1090/proc/14912.
- Pisier2001SimilarityProblemsOpen source ↗
Similarity Problems and Completely Bounded Maps
2001 · misc
Gilles Pisier, Similarity Problems and Completely Bounded Maps, 2nd ed., Lecture Notes in Mathematics 1618, Springer, 2001, DOI 10.1007/b76808.
- Polya1961EigenvaluesOpen source ↗
On the eigenvalues of vibrating membranes
1961 · misc
George Pólya, “On the eigenvalues of vibrating membranes,” Proc. London Math. Soc. (3) 11 (1961), 419–433, DOI 10.1112/plms/s3-11.1.419.
- Porcelli2025LagrangianMonodromyOpen source ↗
C^0 Lagrangian monodromy
2025 · misc
Noah Porcelli, “C^0 Lagrangian monodromy,” Bull. Lond. Math. Soc. (2025), DOI 10.1112/blms.70162.
- Poritsky1950BilliardPropertyOpen source ↗
The billiard ball problem on a table with a convex boundary
1950 · misc
Hillel Poritsky, “The billiard ball problem on a table with a convex boundary,” Ann. of Math. 51 (1950), 446–470, DOI 10.2307/1969334.
- Pugh1967ClosingLemmaOpen source ↗
The closing lemma
1967 · misc
Charles C. Pugh, “The closing lemma,” Amer. J. Math. 89 (1967), 956–1009, DOI 10.2307/2373413.
- PughRobinson1983ClosingLemmaOpen source ↗
The C^1 closing lemma, including Hamiltonians
1983 · misc
Charles C. Pugh and Clark Robinson, “The C^1 closing lemma, including Hamiltonians,” Ergodic Theory Dynam. Systems 3 (1983), 261–313, DOI 10.1017/S0143385700001991.
- PughShub1997StableErgodicity
Stable ergodicity and partial hyperbolicity
1996 · misc
Charles Pugh and Michael Shub, “Stable ergodicity and partial hyperbolicity,” in International Conference on Dynamical Systems (Montevideo, 1995), Pitman Research Notes 362, 1996, 182–187.
- Quaschner2025ImprobabilityOpen source ↗
Improbability results for non-collision orbits of Xia type
2025 · misc
Manuel Quaschner, “Improbability results for non-collision orbits of Xia type,” Dissertationes Math. 601 (2025), 1–88, DOI 10.4064/dm231110-23-1. number number Mathematical physics
- RansfordSchwenninger2018CrouzeixOpen source ↗
Remarks on the Crouzeix– Palencia proof that the numerical range is a (1+2)-spectral set
2018 · misc
Thomas Ransford and Felix L. Schwenninger, “Remarks on the Crouzeix– Palencia proof that the numerical range is a (1+2)-spectral set,” SIAM J. Matrix Anal. Appl. 39 (2018), 342–345, DOI 10.1137/17M1134457.
- Rokhlin1949MultipleMixing
On endomorphisms of compact commutative groups
1949 · misc
V. A. Rokhlin, “On endomorphisms of compact commutative groups,” Izv. Akad. Nauk SSSR Ser. Mat. 13 (1949), 329–340.
- RudnickSarnak1994BehaviourEigenstates
The behaviour of eigenstates of arithmetic hyperbolic manifolds
1994 · misc
Zeév Rudnick and Peter Sarnak, “The behaviour of eigenstates of arithmetic hyperbolic manifolds,” Comm. Math. Phys. 161 (1994), 195–213.
- Rudolph1990Times2Times3Open source ↗
2 and 3 invariant measures and entropy
1990 · misc
Daniel J. Rudolph, “2 and 3 invariant measures and entropy,” Ergodic Theory Dynam. Systems 10 (1990), 395–406, DOI 10.1017/S0143385700005606.
- Ryzhikov2024JoiningsProblemsOpen source ↗
Unsolved problems on joinings, multiple mixing, spectrum, and rank
2024 · misc
Valery V. Ryzhikov, “Unsolved problems on joinings, multiple mixing, spectrum, and rank,” 2024, arXiv: 2405.03641.
- Ryzhikov2024MultipleMixing75Open source ↗
Multiple mixing, 75 years of Rokhlin's problem
2024 · misc
Valery V. Ryzhikov, “Multiple mixing, 75 years of Rokhlin's problem,” 2024, arXiv: 2411.07234.
- Ryzhikov2024TensorLebesgueSpectrumOpen source ↗
Spectral properties of dynamical tensor powers, and tensor factorizations of simple Lebesgue spectrum
2024 · misc
Valery V. Ryzhikov, “Spectral properties of dynamical tensor powers, and tensor factorizations of simple Lebesgue spectrum,” 2024, arXiv: 2406.08409.
- Saari1977ImprobabilityCollisions
A global existence theorem for the four-body problem of Newtonian mechanics
1977 · misc
Donald G. Saari, “A global existence theorem for the four-body problem of Newtonian mechanics,” J. Differential Equations 26 (1977), 80–111.
- Scharlemann1990ReducibleSurgeryOpen source ↗
Producing reducible 3-manifolds by surgery on a knot
1990 · misc
Martin Scharlemann, “Producing reducible 3-manifolds by surgery on a knot,” Topology 29 (1990), 481–500, DOI 10.1016/0040-9383(90)90017-E90017-E).
- Scharlemann2010SchoenfliesOpen source ↗
Generalized Property R and the Schoenflies conjecture
2008 · misc
Martin Scharlemann, “Generalized Property R and the Schoenflies conjecture,” Comment. Math. Helv. 83 (2008), 421–449, DOI 10.4171/CMH/130.
- Schimmer2022StateLiebThirringOpen source ↗
The state of the Lieb–Thirring conjecture
2022 · misc
Lukas Schimmer, “The state of the Lieb–Thirring conjecture,” in The Mathematics of Movement, Springer INdAM Series 50, 2022, 253–275, arXiv: 2203.06051.
- SermangeTemam1983MHDOpen source ↗
Some mathematical questions related to the MHD equations
1983 · misc
Michel Sermange and Roger Temam, “Some mathematical questions related to the MHD equations,” Comm. Pure Appl. Math. 36 (1983), 635–664, DOI 10.1002/cpa.3160360506.
- ShelukhinSun2024SymplecticHilbertSmithOpen source ↗
A symplectic Hilbert–Smith conjecture
2024 · misc
Egor Shelukhin and Junyi Sun, “A symplectic Hilbert–Smith conjecture,” 2024, arXiv: 2403.07195.
- Shnirelman1974ErgodicEigenfunctions
Ergodic properties of eigenfunctions
1974 · misc
A. I. Shnirelman, “Ergodic properties of eigenfunctions,” Uspekhi Mat. Nauk 29 (1974), 181–182.
- Simon1984FifteenProblems
Fifteen problems in mathematical physics
1984 · misc
Barry Simon, “Fifteen problems in mathematical physics,” in Perspectives in Mathematics, Birkhäuser, 1984, 423–454.
- Sinai1994TopicsErgodicTheory
Topics in Ergodic Theory
1994 · misc
Ya. G. Sinai, Topics in Ergodic Theory, Princeton Univ. Press, 1994.
- Solovej2003IonizationHartreeFockOpen source ↗
The ionization conjecture in Hartree–Fock theory
2003 · misc
Jan Philip Solovej, “The ionization conjecture in Hartree–Fock theory,” Ann. of Math. 158 (2003), 509–576, DOI 10.4007/annals.2003.158.509.
- Stein1993HarmonicAnalysis
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
1993 · misc
Elias M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, 1993.
- Stolz2011AndersonLocalizationOpen source ↗
An introduction to the mathematics of Anderson localization
2011 · misc
Günter Stolz, “An introduction to the mathematics of Anderson localization,” in Entropy and the Quantum II, Contemp. Math. 552, AMS, 2011, 71–108, arXiv: 1104.2317.
- Tao2003RestrictionSurveyOpen source ↗
Recent progress on the restriction conjecture
2004 · misc
Terence Tao, “Recent progress on the restriction conjecture,” in Fourier Analysis and Convexity, Applied and Numerical Harmonic Analysis, Birkhäuser, 2004, 217–243, arXiv: math/0311181.
- Tao2004FugledeCounterexampleOpen source ↗
Fuglede's conjecture is false in 5 and higher dimensions
2004 · misc
Terence Tao, “Fuglede's conjecture is false in 5 and higher dimensions,” Math. Res. Lett. 11 (2004), 251–258, DOI 10.4310/MRL.2004.v11.n2.a8.