Selected Papers from Volumes 24 and 25 of Vychislitel'naya Seysmologiya

Title Page......Page 2
Copyright......Page 3
Contents......Page 4
Foreword......Page 6
Preface......Page 7
1. THE SIMPLEST PREDICTION PROBLEM......Page 8
2. PREDICTION WITH MULTIPHASE ALERTS......Page 10
3. OPTIMIZATION OF MEAN LOSS RATE......Page 12
4. DISCUSSION......Page 13
APPENDIX B. PROOF OF STATEMENT 2......Page 14
REFERENCES......Page 16
BASIC ASSUMPTIONS......Page 18
A QUANTITATIVE MODEL......Page 19
NUMERICAL ANALYSIS......Page 21
REFERENCES......Page 22
APPEARANCE OF CRACKS......Page 23
HEALING OF CRACKS......Page 24
MEAN STRESS FIELD......Page 25
DYNAMICS OF A MATERIAL POINT......Page 26
SUPPLEMENT......Page 27
REFERENCES......Page 28
A MODEL OF FRICTION......Page 29
EQUATION FOR DISPLACEMENTS......Page 30
REFERENCES......Page 32
STATEMENT OF THE PROBLEM......Page 34
CHOICE OF PATTERNS FOR LEARNING......Page 35
QUALITATIVE FEATURES OF AFTERSHOCK SEQUENCES......Page 36
PARAMETER DISCRETIZATION......Page 38
TESTING THE DECISION RULE FOR STABILITY......Page 39
ASSESSMENT OF STATISTICAL SIGNIFICANCE......Page 40
REFERENCES......Page 42
1. A MULTIFRACTAL APPROACH......Page 44
2. FRACTALS AND MULTIFRACTALS FOR SOUTHERN CALIFORNIA SPATIAL CLUSTERING......Page 45
3. TEMPORAL CLUSTERING......Page 48
REFERENCES......Page 52
DESCRIPTION OF THE MODEL......Page 53
PROOF OF THE RESULTS......Page 54
APPENDIX......Page 55
REFERENCES......Page 56
DISPLACEMENTS AT THE STRAIGHT BOUNDARY......Page 57
THE USE OF THE PERTURBATION METHOD......Page 59
DEFORMATIONS OF AN ARBITRARY BOUNDARY......Page 61
REFERENCES......Page 64
SOLUTION BY PERTURBATION METHOD......Page 65
DISPLACEMENTS OF THE GROUND SURFACE FAR FROM THE FAULT......Page 67
CONCLUSION......Page 69
REFERENCES......Page 70
1. EQUATIONS OF MOTION FOR A MEDIUM WITH STOCHASTIC CHANGES IN DENSITY......Page 71
3. GENERAL SOLUTION OF EQUATION FOR MEAN VELOCITY......Page 72
4. REDUCING THE STABILITY PROBLEM TO THE EIGENVALUE PROBLEM......Page 73
5. NUMERICAL RESULTS AND DISCUSSION......Page 74
APPENDIX II......Page 75
APPENDIX IV......Page 77
REFERENCES......Page 78
FORMULATION OF THE PROBLEM......Page 79
SOLUTION OF THE PROBLEM......Page 80
NUMERICAL ANALYSIS......Page 81
REFERENCES......Page 82
FORMULATION OF THE PROBLEM......Page 83
REDUCTION OF THE PROBLEM TO DETERMINATION OF ZEROS OF AN ANALYTIC FUNCTION......Page 84
PROPAGATION OF FAST TECTONIC WAVES......Page 85
REFERENCES......Page 86
2. CORRECTIONS......Page 88
3. IMPROVEMENTS IN THE ALGORITHMS......Page 96
APPENDIX......Page 98
REFERENCES......Page 100
1. FORMULATION OF THE PROBLEM......Page 101
2. FORMAL ASYMPTOTIC DECOMPOSITION......Page 102
3. HELICITY OF THE VELOCITY FIELD......Page 103
4. ESTIMATES IN SOBOLEV\'S FUNCTIONAL SPACES......Page 104
5. UNIFORM BOUNDEDNESS AND CONVERGENCE OF RESOLVENTS......Page 105
6. ASYMPTOTIC SERIESOF THE PERTURBATION THEORY......Page 106
REFERENCE......Page 107
2. FORMULATION AND SOLUTION OF THE MATHEMATICAL PROBLEM......Page 108
3. APPLICATION TO BOUNDARY-VALUE PROBLEM 1 FOR LARGE R......Page 110
REFERENCES......Page 111
INTRODUCTION......Page 112
1. SOLUTIONS OF MODEL EQUATION......Page 113
2. PERTURBATION OF SOLUTIONS OF THE MODEL EQUATION......Page 116
4. EVOLUTION OF A DISTURBANCE WITH VORTICITY INITIALLY LOCALIZED IN A THIN LAYER......Page 118
REFERENCES......Page 120
1. STURM-LIOUVILLE\'S MATRIX SYSTEM FOR RAYLEIGH WAVES......Page 121
2. THE CASE OF A CONSTANT MATRIX D......Page 122
4. DISPERSION OF RAYLEIGH WAVES......Page 123
REFERENCES......Page 124
BOUNDS ON VALUES OF THE FUNCTION......Page 126
POSITIVITY OF p ALONG TRAJECTORIES......Page 127
FINITENESS OF THE ENERGY FLOW......Page 128
DISPERSION EQUATION......Page 131
REFERENCES......Page 132
2. SOLUTION OF EQUATION FOR RAYLEIGH WAVES......Page 134
3. DIMENSIONLESS FORM OF THE PROBLEM......Page 135
5. INVESTIGATION OF DISPERSION......Page 136
6. A FURTHER RESTRICTION......Page 139
REFERENCES......Page 140
3. THE RAY AS THE SOLUTION OF A VARIATIONAL PROBLEM WITH A FREE END......Page 141
4. DEFINITION OF BASIC FUNCTIONS......Page 142
6. DETERMINATION OF THE RAY PARAMETER......Page 143
8. AN EXAMPLE OF A TRAVEL TIME CURVE......Page 144
REFERENCES......Page 145
STATEMENT OF THE PROBLEM......Page 146
DETERMINATION OF THE LEADING TERM OF THE SECOND SERIES......Page 147
COMPUTATIONAL ASPECTS......Page 149
REFERENCES......Page 150
PRINCIPLES OF THE METHOD......Page 151
QUANTITATIVE ESTIMATES......Page 154
REFERENCES......Page 156
SOLUTION OF THE PROBLEM......Page 157
COMPUTER MODELING OF THE INVERSION METHOD......Page 158
DESCRIPTION OF THE EXPERIMENT......Page 159
DISCUSSION......Page 160
SUPPLEMENT......Page 161
REFERENCES......Page 162
ESTIMATION OF SPATIO-TEMPORAL SOURCE PARAMETERS FOR THE 1988 SPITAK, ARMENIA, EARTHQUAKE FROM BROADBAND SURFACE WAVE RECORDS......Page 163
REFERENCES......Page 167
1. INTRODUCTION AND MAIN RESULTS......Page 169
2. MUSIC AND MN FREQUENCY ESTIMATORS......Page 170
3. DISTRIBUTION OF FREQUENCY ESTIMATORS FOR MODERATELY LARGE MATRIX SIZE AND N ― ∞......Page 171
4. ANALYSIS OF LIMIT DISTRIBUTIONS FOR FREQUENCY ESTIMATORS......Page 173
5. THE CASE OF NON-GAUSSIAN NOISE......Page 174
6. THE CASE OF LARGE MATRIX SIZE: NEGATIVE RESULTS......Page 175
REFERENCES......Page 181
STATISTICAL FORMULATION OF THE IDENTIFICATION PROBLEM......Page 182
RELATION OF THE STATISTICAL IDENTIFICATION PROBLEM TO STANDARD PROBLEMS IN STATISTICAL DATA ANALYSIS......Page 183
STATISTICAL QUALITY CRITERIA FOR ALGORITHMS OF PARAMETRIC IDENTIFICATION......Page 184
ASYMPTOTICALLY EFFICIENTESTIMATORS FOR A FINITEPARAMETRIC MODEL OF INPUT SIGNAL......Page 185
OPTIMAL IDENTIFICATION ALGORITHMS WITH AN UNKNOWN ERGODIC INPUT SIGNAL......Page 187
THE STABILITY OF ASYMPTOTICALLY EFFICIENT ESTIMATORS UNDER VARIATION OF NOISE POWER SPECTRAL DENSITY......Page 188
REFERENCES......Page 190
Vychislitei\'naya Seysmologia Index......Page 191
AUTHOR INDEX - Computational Seismology and Geodynamics......Page 193
SEISMOLOGY......Page 194
GENERAL OR MISCELLANEOUS......Page 195