Ka-Sing Lau - Publications

Affiliations: 
The Chinese University of Hong Kong, Hong Kong, Hong Kong 
Area:
Mathematics

72 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 An L, Lau K. Characterization of a class of planar self-affine tile digit sets Transactions of the American Mathematical Society. 371: 7627-7650. DOI: 10.1090/Tran/7481  0.373
2019 Gu Q, Lau K, Qiu H. On a recursive construction of Dirichlet form on the Sierpiński gasket Journal of Mathematical Analysis and Applications. 474: 674-692. DOI: 10.1016/J.Jmaa.2019.01.070  0.323
2018 Lau K, Li X, Ruan H. A Counterexample to the “Hot Spots” Conjecture on Nested Fractals Journal of Fourier Analysis and Applications. 24: 210-225. DOI: 10.1007/S00041-017-9524-Z  0.329
2017 Kong S, Lau K, Wong TL. Random walks and induced Dirichlet forms on self-similar sets Advances in Mathematics. 320: 1099-1134. DOI: 10.1016/J.Aim.2017.09.029  0.381
2017 Lau K, Wang X. On hyperbolic graphs induced by iterated function systems Advances in Mathematics. 313: 357-378. DOI: 10.1016/J.Aim.2017.04.012  0.386
2016 An FP, Balantekin AB, Band HR, Bishai M, Blyth S, Butorov I, Cao D, Cao GF, Cao J, Cen WR, Chan YL, Chang JF, Chang LC, Chang Y, Chen HS, ... ... Lau K, et al. Measurement of the reactor antineutrino flux and spectrum at Daya Bay Physical Review Letters. 116. DOI: 10.1103/PhysRevLett.116.061801  0.332
2016 Dong X, Lau K, Wu H. Cauchy transforms of self-similar measures: Starlikeness and univalence Transactions of the American Mathematical Society. 369: 4817-4842. DOI: 10.1090/Tran/6819  0.324
2015 Grigor'Yan A, Hu J, Lau KS. Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces Journal of the Mathematical Society of Japan. 67: 1485-1549. DOI: 10.2969/Jmsj/06741485  0.304
2015 Deng QR, Lau KS. Sierpinski-type spectral self-similar measures Journal of Functional Analysis. 269: 1310-1326. DOI: 10.1016/J.Jfa.2015.06.013  0.535
2015 An LX, He XG, Lau KS. Spectrality of a class of infinite convolutions Advances in Mathematics. 283: 362-376. DOI: 10.1016/J.Aim.2015.07.021  0.571
2015 Fu X, He X, Lau KS. Spectrality of Self-Similar Tiles Constructive Approximation. 42: 519-541. DOI: 10.1007/S00365-015-9306-2  0.587
2015 Lau KS, Wang XY. Denker–Sato type Markov chains on self-similar sets Mathematische Zeitschrift. 280: 401-420. DOI: 10.1007/S00209-015-1430-Y  0.382
2014 Grigor’yan A, Hu J, Lau K. Estimates of heat kernels for non-local regular Dirichlet forms Transactions of the American Mathematical Society. 366: 6397-6441. DOI: 10.1090/S0002-9947-2014-06034-0  0.317
2014 Dai XR, He XG, Lau KS. On spectral N-Bernoulli measures Advances in Mathematics. 259: 511-531. DOI: 10.1016/J.Aim.2014.03.026  0.561
2013 Lai CK, Lau KS, Rao H. Spectral structure of digit sets of self-similar tiles on R1 Transactions of the American Mathematical Society. 365: 3831-3850. DOI: 10.1090/S0002-9947-2013-05787-X  0.377
2013 Deng Q, Lau K, Ngai S. Separation conditions for iterated function systems with overlaps Contemporary Mathematics. 600: 1-20. DOI: 10.1090/Conm/600  0.498
2013 Deng QR, Lau KS. On the equivalence of homogeneous iterated function systems Nonlinearity. 26: 2767-2775. DOI: 10.1088/0951-7715/26/10/2767  0.562
2013 Luo JJ, Lau KS. Lipschitz equivalence of self-similar sets and hyperbolic boundaries Advances in Mathematics. 235: 555-579. DOI: 10.1016/J.Aim.2012.12.010  0.409
2013 Dong X, Lau K, Liu J. Cantor boundary behavior of analytic functions Advances in Mathematics. 232: 543-570. DOI: 10.1016/J.Aim.2012.09.021  0.313
2013 He XG, Lai CK, Lau KS. Exponential spectra in L2 (μ) Applied and Computational Harmonic Analysis. 34: 327-338. DOI: 10.1016/J.Acha.2012.05.003  0.551
2011 Deng QR, Lau Ks. Connectedness of a class of planar self-affine tiles Journal of Mathematical Analysis and Applications. 380: 493-500. DOI: 10.1016/J.Jmaa.2011.03.043  0.561
2011 He XG, Lau KS. On the Weyl-Heisenberg frames generated by simple functions Journal of Functional Analysis. 261: 1010-1027. DOI: 10.1016/J.Jfa.2011.04.010  0.554
2011 He X, Kirat I, Lau K. Height reducing property of polynomials and self-affine tiles Geometriae Dedicata. 152: 153-164. DOI: 10.1007/S10711-010-9550-3  0.566
2009 Lau KS, Wang XY. Self-similar sets as hyperbolic boundaries Indiana University Mathematics Journal. 58: 1777-1795. DOI: 10.1512/Iumj.2009.58.3639  0.542
2009 Feng DJ, Lau KS. Multifractal formalism for self-similar measures with weak separation condition Journal Des Mathematiques Pures Et Appliquees. 92: 407-428. DOI: 10.1016/J.Matpur.2009.05.009  0.393
2009 Lau KS, Ngai SM, Wang XY. Separation conditions for conformal iterated function systems Monatshefte Fur Mathematik. 156: 325-355. DOI: 10.1007/S00605-008-0052-4  0.551
2008 Deng Q, He X, Lau K. Self-affine measures and vector-valued representations Studia Mathematica. 188: 259-289. DOI: 10.4064/Sm188-3-3  0.562
2008 Deng QR, Lau KS. Open set condition and post-critically finite self-similar sets Nonlinearity. 21: 1227-1232. DOI: 10.1088/0951-7715/21/6/004  0.588
2008 Lau KS, Shu L. The spectrum of Poincaré recurrence Ergodic Theory and Dynamical Systems. 28: 1917-1943. DOI: 10.1017/S0143385707001095  0.548
2008 Hu TY, Lau KS. Spectral property of the Bernoulli convolutions Advances in Mathematics. 219: 554-567. DOI: 10.1016/J.Aim.2008.05.004  0.339
2008 He XG, Lau KS. On a generalized dimension of self-affine fractals Mathematische Nachrichten. 281: 1142-1158. DOI: 10.1002/Mana.200510666  0.625
2007 Leung KS, Lau KS. Disklikeness of planar self-affine tiles Transactions of the American Mathematical Society. 359: 3337-3355. DOI: 10.1090/S0002-9947-07-04106-2  0.51
2007 Lau KS, Ngai SM. A generalized finite type condition for iterated function systems Advances in Mathematics. 208: 647-671. DOI: 10.1016/J.Aim.2006.03.007  0.402
2006 Hu J, Lau KS, Ngai SM. Laplace operators related to self-similar measures on Rd Journal of Functional Analysis. 239: 542-565. DOI: 10.1016/J.Jfa.2006.07.005  0.42
2006 Grigor'yan A, Hu J, Lau K. Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces Journal of Functional Analysis. 237: 427-445. DOI: 10.1016/J.Jfa.2006.04.009  0.408
2005 Lau K, Wang X. Some exceptional phenomena in multifractal formalism: Part I Asian Journal of Mathematics. 9: 275-294. DOI: 10.4310/Ajm.2005.V9.N2.A13  0.416
2004 Lau K, Wang X. Iterated function systems with a weak separation condition Studia Mathematica. 161: 249-268. DOI: 10.4064/Sm161-3-3  0.471
2004 Yu ZG, Anh V, Lau KS. Fractal analysis of measure representation of large proteins based on the detailed HP model Physica a: Statistical Mechanics and Its Applications. 337: 171-184. DOI: 10.1016/J.Physa.2004.01.057  0.302
2004 He XG, Lau KS. Characterization of tile digit sets with prime determinants Applied and Computational Harmonic Analysis. 16: 159-173. DOI: 10.1016/J.Acha.2004.03.001  0.581
2004 Kirat I, Lau K, Rao H. Expanding Polynomials and Connectedness of Self-Affine Tiles Discrete and Computational Geometry. 31: 275-286. DOI: 10.1007/S00454-003-2879-8  0.391
2003 Yu ZG, Anh V, Lau KS. Multifractal and correlation analyses of protein sequences from complete genomes. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 68: 021913. PMID 14525012 DOI: 10.1103/Physreve.68.021913  0.312
2003 Grigor’yan A, Hu J, Lau K. Heat kernels on metric measure spaces and an application to semilinear elliptic equations Transactions of the American Mathematical Society. 355: 2065-2095. DOI: 10.1090/S0002-9947-03-03211-2  0.363
2003 Lau KS, Rao H. On one-dimensional self-similar tilings and pq-tiles Transactions of the American Mathematical Society. 355: 1401-1414. DOI: 10.1090/S0002-9947-02-03207-5  0.371
2003 Lau K, Ngai S. Dimensions of the Boundaries of Self-Similar Sets Experimental Mathematics. 12: 13-26. DOI: 10.1080/10586458.2003.10504709  0.394
2003 Dong XH, Lau KS. Cauchy transforms of self-similar measures: The Laurent coefficients Journal of Functional Analysis. 202: 67-97. DOI: 10.1016/S0022-1236(02)00069-1  0.352
2003 He X, Lau K, Rao H. Self-Affine Sets and Graph-Directed Systems Constructive Approximation. 19: 373-397. DOI: 10.1007/S00365-002-0515-0  0.585
2002 Fan AH, Lau KS, Rao H. Relationships between different dimensions of a measure Monatshefte Fur Mathematik. 135: 191-201. DOI: 10.1007/S006050200016  0.322
2002 Feng DJ, Lau KS, Wu J. Ergodic limits on the conformal repellers Advances in Mathematics. 169: 58-91. DOI: 10.1006/Aima.2001.2054  0.39
2001 Yu ZG, Anh V, Lau KS. Measure representation and multifractal analysis of complete genomes. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 64: 031903. PMID 11580363 DOI: 10.1103/Physreve.64.031903  0.332
2001 Lau K, Ngai S, Rao H. Iterated Function Systems With Overlaps And Self-Similar Measures Journal of the London Mathematical Society-Second Series. 63: 99-116. DOI: 10.1112/S0024610700001654  0.4
2001 Hu TY, Lau KS. Multifractal Structure of Convolution of the Cantor Measure Advances in Applied Mathematics. 27: 1-16. DOI: 10.1006/Aama.2000.0683  0.383
2000 Lau K, Ngai S. Second-order Self-similar Identities and Multifractal Decompositions Indiana University Mathematics Journal. 49: 925-972. DOI: 10.1512/Iumj.2000.49.1789  0.399
2000 Kirat I, Lau K. On the Connectedness of Self‐Affine Tiles Journal of the London Mathematical Society-Second Series. 62: 291-304. DOI: 10.1112/S002461070000106X  0.403
1999 Fan AH, Lau KS. Iterated function system and Ruelle operator Journal of Mathematical Analysis and Applications. 231: 319-344. DOI: 10.1006/Jmaa.1998.6210  0.354
1999 Lau K, Ngai S. Multifractal Measures and a Weak Separation Condition Advances in Mathematics. 141: 45-96. DOI: 10.1006/Aima.1998.1773  0.369
1998 Lau K, Lawson J, Zeng W. Embedding Locally Compact Semigroups into Groups Semigroup Forum. 57: 151-156. DOI: 10.1007/Pl00005971  0.357
1998 Fan AH, Lau K. Asymptotic behavior of multiperiodic functions\(G(x) = \prod\limits_{n = 1}^\infty {g(x/2^n )} \) Journal of Fourier Analysis and Applications. 4: 129-150. DOI: 10.1007/Bf02475985  0.301
1997 Lau K, Ho A. On the discount sum of Bernoulli random variables Journal of Statistical Planning and Inference. 63: 231-246. DOI: 10.1016/S0378-3758(97)00019-0  0.362
1995 Lau K, Wang J, Chu C. Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures Studia Mathematica. 117: 1-28. DOI: 10.4064/Sm-117-1-1-28  0.351
1995 Lau KS. A Weighted Tauberian Theorem Journal of Fourier Analysis and Applications. 2: 397-406. DOI: 10.1007/S00041-001-4042-3  0.309
1995 Lau KS, Wang J. Corrigendum of mean quadratic variations and fourier asymptotics of self-similar measures Monatshefte FüR Mathematik. 120: 47. DOI: 10.1007/Bf01470063  0.358
1993 Hu TY, Lau KS. Fractal dimensions and singularities of the weierstrass typefunctions Transactions of the American Mathematical Society. 335: 649-665. DOI: 10.1090/S0002-9947-1993-1076614-6  0.377
1993 Lau KS, Wang J. Mean quadratic variations and Fourier asymptotics of self-similar measures Monatshefte FüR Mathematik. 115: 99-132. DOI: 10.1007/Bf01311213  0.431
1993 Lau KS. Dimension of a Family of Singular Bernoulli Convolutions Journal of Functional Analysis. 116: 335-358. DOI: 10.1006/Jfan.1993.1116  0.423
1992 Lau KS. Fractal measures and mean p-variations Journal of Functional Analysis. 108: 427-457. DOI: 10.1016/0022-1236(92)90031-D  0.397
1990 Gao J, Lau KS. On the geometry of spheres in normed linear spaces Journal of the Australian Mathematical Society. 48: 101-112. DOI: 10.1017/S1446788700035230  0.314
1989 Chen YZ, Lau KS. Some new classes of Hardy spaces Journal of Functional Analysis. 84: 255-278. DOI: 10.1016/0022-1236(89)90097-9  0.328
1983 Lau KS. Extension of wiener’s tauberian identity and multipliers on the marcinkiewicz space Transactions of the American Mathematical Society. 277: 489-506. DOI: 10.1090/S0002-9947-1983-0694372-5  0.342
1978 Lau KS. Best approximation by closed sets in Banach spaces Journal of Approximation Theory. 23: 29-36. DOI: 10.1016/0021-9045(78)90076-X  0.359
1977 Lau KS. On almost Chebyshev subspaces Journal of Approximation Theory. 21: 319-327. DOI: 10.1016/0021-9045(77)90002-8  0.348
1976 Lau KS. On strongly exposing functionals Journal of the Australian Mathematical Society. 21: 362-367. DOI: 10.1017/S1446788700018656  0.342
1975 Lau KS. Farthest points in weakly compact sets Israel Journal of Mathematics. 22: 168-174. DOI: 10.1007/Bf02760164  0.341
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