MathSciDoc: An Archive for Mathematician ∫

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Jones P W, Makarov N. Density properties of harmonic measure[J]. Annals of Mathematics, 2016, 142(3).

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Bishop C J, Jones P W. Harmonic measure and arclength[J]. Annals of Mathematics, 2016, 132(3).

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Piotr Hajlasz. Pointwise Hardy inequalities. 1999.

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Beliaev D, Smirnov S. Harmonic Measure on Fractal Sets[C]., 2005: 41-59.

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Lawler G F. A Discrete Analogue of a Theorem of Makarov[J]. Combinatorics, Probability \u0026 Computing, 1993, 2(02): 181-199.

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Andrade J S, Henrique E, Almeida M P, et al. Heat transport through rough channels[J]. Physica A-statistical Mechanics and Its Applications, 2004, 339(3): 296-310.

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Kenig C E, Preiss D, Toro T, et al. Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions[J]. Journal of the American Mathematical Society, 2007, 22(3): 771-796.

10

Binder I, Makarov N, Smirnov S, et al. Harmonic measure and polynomial Julia sets[J]. Duke Mathematical Journal, 2003, 117(2): 343-365.

1

Piotr T Chruściel · Gregory J Galloway · Daniel Pollack. Mathematical general relativity: A sampler. 2010.

2

Beig R, Chrusciel P T, Schoen R, et al. Kids are non-generic[J]. Annales Henri Poincaré, 2004, 6(1): 155-194.

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Chrusciel P T, Isenberg J, Pollack D, et al. Initial data engineering[J]. Communications in Mathematical Physics, 2005, 257(1): 29-42.

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Piotr T Chrusciel · Harvey S Reall · Paul Tod. On Israel-Wilson-Perjés black holes. 2006.

5

Chrusciel P T, Wald R M. Maximal hypersurfaces in stationary asymptotically flat spacetimes[J]. Communications in Mathematical Physics, 1994, 163(3): 561-604.

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Miao P, Shi Y, Tam L, et al. On geometric problems related to Brown-York and Liu-Yau quasilocal mass[J]. Communications in Mathematical Physics, 2009, 298(2): 437-459.

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Galloway G J, Horta A. Regularity of Lorentzian Busemann Functions[J]. Transactions of the American Mathematical Society, 1996, 348(5): 2063-2084.

8

Bartnik R, Chruściel P T, Omurchadha N, et al. On maximal surfaces in asymptotically flat space-times[J]. Communications in Mathematical Physics, 1990, 130(1): 95-109.

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Amsel A J, Hertog T, Hollands S, et al. A tale of two superpotentials: Stability and Instability in Designer Gravity[J]. Physical Review D, 2007, 75(8).

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Andersson L, Galloway G J, Howard R, et al. A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry[J]. Communications on Pure and Applied Mathematics, 1998, 51(6): 581-624.

1

Aramova A, Herzog J, Hibi T, et al. Gotzmann Theorems for Exterior Algebras and Combinatorics[J]. Journal of Algebra, 1997, 191(1): 174-211.

2

Novik I. Lyubeznik\u0027s Resolution and Rooted Complexes[J]. Journal of Algebraic Combinatorics, 2002, 16(1): 97-101.

3

Bayer M M, Lee C W. CHAPTER 2.3 - Combinatorial Aspects of Convex Polytopes[C]., 1993: 485-534.

4

Aramova A, Herzog J, Hibi T, et al. Ideals with Stable Betti Numbers[J]. Advances in Mathematics, 2000, 152(1): 72-77.

5

Art M Duval · Victor Reiner. Shifted simplicial complexes are Laplacian integral. 2002.

6

Aramova A, Herzog J, Hibi T, et al. Shifting Operations and Graded Betti Numbers[J]. Journal of Algebraic Combinatorics, 2000, 12(3): 207-222.

7

Novik I. Upper bound theorems for homology manifolds[J]. Israel Journal of Mathematics, 1998, 108(1): 45-82.

8

Aramova A, Herzog J. Almost regular sequences and Betti numbers[J]. American Journal of Mathematics, 2000, 122(4): 689-719.

9

Anders Bjorner · Laszlo Lovasz. Linear decision trees, subspace arrangements and Möbius functions. 1994.

10

Duval A M, Klivans C J, Martin J L, et al. Simplicial matrix-tree theorems[J]. Transactions of the American Mathematical Society, 2009, 361(11): 6073-6114.

1

Granville A. Smooth numbers: computational number theory and beyond[C]., 2008: 267-323.

2

Vaughan R C, Wooley T D. Further improvements in Waring\u0027s problem[J]. Acta Mathematica, 1995, 174(2): 147-240.

3

Wooley T D. Breaking classical convexity in Waring\u0027s problem: Sums of cubes and quasi-diagonal behaviour[J]. Inventiones Mathematicae, 1995, 122(3): 421-451.

4

Fouvry E, Tenenbaum G. ENTIERS SANS GRAND FACTEUR PREMIER EN PROGRESSIONS ARITHMETIQUES[J]. Proceedings of The London Mathematical Society, 1991: 449-494.

5

R C Vaughan · Trevor D Wooley. Waring's problem: A survey. 2002.

6

Brudern J, Cook R J. On simultaneous diagonal equations and inequalities[J]. Acta Arithmetica, 1992, 62(2): 125-149.

7

Wooley T D. Some Remarks on Vinogradov\u0027s Mean Value Theorem and Tarry\u0027s Problem[J]. Monatshefte für Mathematik, 1996, 122(3): 265-273.

8

Vaughan R C, Wooley T D. Further improvements in Waring\u0027s problem, IV: Higher powers[J]. Acta Arithmetica, 2000, 94(3): 203-285.

9

Wooley T D. Sums of three cubes[J]. Mathematika, 2000: 53-61.

10

Brudern J, Wooley T D. ON WARING\u0027S PROBLEM FOR CUBES AND SMOOTH WEYL SUMS[J]. Proceedings of The London Mathematical Society, 2001, 82(1): 89-109.

1

Juha Heinonen · Pekka Koskela. Quasiconformal maps in metric spaces with controlled geometry. 1998.

2

Vaisala J. Relatively and inner uniform domains[J]. Conformal Geometry and Dynamics of The American Mathematical Society, 1998, 2(5): 56-88.

3

Vaisala J. Relatively and inner uniform domains[J]. Conformal Geometry and Dynamics of The American Mathematical Society, 1998, 2(5): 56-88.

4

Tyson J T. Metric and geometric quasiconformality in Ahlfors regular Loewner spaces[J]. Conformal Geometry and Dynamics of The American Mathematical Society, 2001, 5(3): 21-73.

5

Guy David · Todd Depauw · Tatiana Toro. A generalization of Reifenberg's theorem in $R^3$. 2006.

6

Vaisala J, Vuorinen M, Wallin H, et al. Thick sets and quasisymmetric maps[J]. Nagoya Mathematical Journal, 1994: 121-148.

7

David G, Toro T. Reifenberg Parameterizations for Sets with Holes[J]. Memoirs of the American Mathematical Society, 2009, 215(1012): 0-0.

8

Heinonen J, Nakki R. Quasiconformal distortion on arcs[J]. Journal D Analyse Mathematique, 1994, 63(1): 19-53.

9

Hurrisyrjanen R. An improved Poincaré inequality[J]. Proceedings of the American Mathematical Society, 1994, 120(1): 213-222.

10

Gehring F W. Quasiconformal Mappings in Euclidean Spaces[C]., 2005: 1-29.