MathSciDoc: An Archive for Mathematician ∫

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Torquato S. Inverse Optimization Techniques for Targeted Self-Assembly[J]. Soft Matter, 2008, 5(6): 1157-1173.

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Jozsef Beck · W W L Chen. NOTE ON IRREGULARITIE S OF DISTRIBUTION II. 1990.

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J Ralph Alexander · Jozsef Beck · William W L Chen. Geometric discrepancy theory and uniform distribution. 1997.

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Torquato S, Scardicchio A, Zachary C E, et al. Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory[J]. Journal of Statistical Mechanics: Theory and Experiment, 2008, 2008(11).

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Jeff M Phillips. Algorithms for ε-Approximations of Terrains. 2008.

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Chase E Zachary · Salvatore Torquato. Hyperuniformity in point patterns and two-phase random heterogeneous media. 2009.

9

Beck J, Chen W W. IRREGULARITIES OF POINT DISTRIBUTION RELATIVE TO CONVEX POLYGONS III[J]. Journal of The London Mathematical Society-second Series, 1997, 56(2): 222-230.

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Chen W W, Travaglini G. Deterministic and probabilistic discrepancies[J]. Arkiv för Matematik, 2009, 47(2): 273-293.

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Lusky W. On the Structure of Hv0(D) and hv0(D)[J]. Mathematische Nachrichten, 1992, 159(1): 279-289.

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Timur Oikhberg · Eric Ricard. Operator spaces with few completely bounded maps. 2003.

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Randrianantoanina B. NORM-ONE PROJECTIONS IN BANACH SPACES[J]. Taiwanese Journal of Mathematics, 2001, 5(1): 35-95.

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Casazza P G. Chapter 7 Approximation properties[C]., 2001: 271-316.

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Piotr Mankiewicz · Nicole Tomczakjaegermann. Quotients of Finite-Dimensional Banach Spaces; Random Phenomena. 2003.

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Casazza P G, Garcia C L, Johnson W B, et al. An example of an asymptotically Hilbertian space which fails the approximation property[J]. Proceedings of the American Mathematical Society, 2000, 129(10): 3017-3023.

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Terenzi P. Every separable Banach space has a bounded strong norming biorthogonal sequence which is also a Steinitz basis[J]. Studia Mathematica, 1994, 111(3): 207-222.

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Giannopoulos A, Milman V D. Asymptotic Convex Geometry Short Overview[C]., 2004: 87-162.

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Adler R J, Taylor J. Random fields and geometry[C]., 2007.

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Massart P, Picard J, De Saintflour E D, et al. Concentration inequalities and model selection[C]., 2007.

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Talagrand M. Sharper Bounds for Gaussian and Empirical Processes[J]. Annals of Probability, 1994, 22(1): 28-76.

4

Talagrand M. A new look at independence[J]. Annals of Probability, 1996, 24(1): 1-34.

5

Michel Ledoux. Isoperimetry and Gaussian analysis. 1996.

6

Barlow M T. Diffusions on fractals[C]., 1998: 1-121.

7

Adler R J. On excursion sets, tube formulas and maxima of random fields[J]. Annals of Applied Probability, 2000, 10(1): 1-74.

8

Tindel S, Tudor C A, Viens F, et al. Stochastic evolution equations with fractional Brownian motion[J]. Probability Theory and Related Fields, 2003, 127(2): 186-204.

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10

Mendelson S, Pajor A, Tomczakjaegermann N, et al. Reconstruction and Subgaussian Operators in Asymptotic Geometric Analysis[J]. Geometric and Functional Analysis, 2007, 17(4): 1248-1282.

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Kaneko H. Recurrence and Transience Criteria for Symmetric Hunt Processes[J]. Potential Analysis, 2000.

2

Chen Z, Durrett R, Ma G L, et al. HOLOMORPHIC DIFFUSIONS AND BOUNDARY BEHAVIOR OF HARMONIC FUNCTIONS[J]. Annals of Probability, 1997, 25(3): 1103-1134.

3

Atsuji A. PARABOLICITY, THE DIVERGENCE THEOREM FOR $\\\\delta$-SUBHARMONIC FUNCTIONS AND APPLICATIONS TO THE LIOUVILLE THEOREMS FOR HARMONIC MAPS[J]. Tohoku Mathematical Journal, 2005, 57(3): 353-373.

4

Gabriel V. Dirichlet-like space and capacity in complex analysis in several variables[J]. Journal of Functional Analysis, 2007, 252(1): 247-277.

5

Kaneko H. A stochastic approach to a Liouville property for plurisubharmonic functions[J]. Journal of The Mathematical Society of Japan, 1989, 41(2): 291-299.

6

Hiroshi Kaneko · Setsuo Taniguchi. A stochastic approach to the Šilov boundary. 1987.

7

厚地 淳. ブラウン運動と調和写像・正則写像の値分布論. 2002.

8

金子 宏. 多重劣調和関数と複素多様体上の正則拡散過程. 1989.

9

Makoto Suzuki. The singular Dirichlet problem for the complex Monge-Ampère operator on complex manifolds. 1989.

10

Hideo Nagai. Extremal holomorphic diffusion processes. 1993.

1

Haim Brezis · Frank Merle. Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)eu in two dimensions. 2009.

2

Tian G. Kähler-Einstein metrics on algebraic manifolds[C]., 1996: 143-185.

3

Caffarelli L A, Yang Y S. Vortex condensation in the Chern-Simons Higgs model: an existence theorem[J]. Communications in Mathematical Physics, 1995, 168(2): 321-336.

4

Chiunchuan Chen · Changshou Lin. Topological degree for a mean field equation on Riemann surfaces. 2003.

5

Chiunchuan Chen · Changshou Lin. Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces. 2002.

6

Wang G, Zhu X. Extremal Hermitian metrics on Riemann surfaces with singularities[J]. Duke Mathematical Journal, 2000, 104(2): 181-210.

7

Chen W, Li C. Moving planes, moving spheres, and a priori estimates[J]. Journal of Differential Equations, 2003, 195(1): 1-13.

8

Margherita Nolasco · Gabriella Tarantello. Double vortex condensates in the Chern-Simons-Higgs theory. 1999.

9

Bartolucci D, Tarantello G. Liouville Type Equations with Singular Data¶and Their Applications to Periodic Multivortices¶for the Electroweak Theory[J]. Communications in Mathematical Physics, 2014, 229(1): 3-47.

10

Chen W, Li C. A priori estimates for prescribing scalar curvature equations[J]. Annals of Mathematics, 2016, 145(3): 547-564.

1

Robert Hardt · F H Lin. Mappings minimizing the L p norm of the gradient. 1987.

2

Romanovskiĭ N N. SOBOLEV SPACES ON AN ARBITRARY METRIC MEASURE SPACE: COMPACTNESS OF EMBEDDINGS[J]. Siberian Mathematical Journal, 2013, 54(2): 353-367.

3

Bethuel F. The approximation problem for Sobolev maps between two manifolds[J]. Acta Mathematica, 1991, 167(1): 153-206.

4

Hardt R, Lin F. Mappings minimizing the Lp norm of the gradient[J]. Communications on Pure and Applied Mathematics, 1987, 40(5): 555-588.

5

Hang F, Lin F. Topology of sobolev mappings, II[J]. Acta Mathematica, 2003, 191(1): 55-107.

6

Brezis H, Li Y. Topology and Sobolev Spaces[J]. Journal of Functional Analysis, 2001, 183(2): 321-369.

7

Rubinstein J, Sternberg P. Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents[J]. Communications in Mathematical Physics, 1996, 179(1): 257-263.

8

Almgren F J, Browder W, Lieb E H, et al. Co-Area, Liquid Crystals, and Minimal Surfaces[C]., 1988: 1-22.

9

Haim Brezis. The interplay between analysis and topology in some nonlinear PDE problems. 2003.

10

Berlyand L, Mironescu P. Ginzburg–Landau minimizers with prescribed degrees. Capacity of the domain and emergence of vortices[J]. Journal of Functional Analysis, 2006, 239(1): 76-99.