| Description |
1 online resource : illustrations (some color) |
| Series |
Springer-Praxis books in astronomy and planetary sciences |
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Springer-Praxis books in astronomy and planetary sciences.
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| Contents |
pt. 1. SETI statistics -- The statistical Drake equation -- Letting Maxima do the calculations -- How many planets for man and aliens? -- Statistical Fermi paradox and Galactic travels -- How long does a civilization live? -- Life-span modeling by finite b-lognormals -- Civilizations as finite b-lognormals: Mathematical history -- A mathematical model for evolution and SETI -- Societal statistics by the statistical Drake equation -- Cubics of historical recovery -- Exponential evolution in time as a geometric Brownian motion -- pt. 2. Space Missions to Exploit Gravitational Lensing -- So much gain at 550 AU -- FOCAL mission to 1,000AU as an interstellar precursor -- Belt of focal spheres between 550 and 17,000 AU -- Galactic Internet by star gravitational lensing -- Extragalactic Internet by black hole gravitational lensing -- pt. 3. KLT for optimal signal processing -- A simple introduction to the KLT and BAM-KLT -- KLT of radio signals from relativistic spaceships in uniform and decelerated motion -- KLT of radio signals from relativistic spaceships in hyperbolic motion -- KLT of radio signals from relativistic spaceships in arbitrary motion -- Brownian motion and its time rescaling -- Maccone first KLT theorem: KLT of all timerescaled Brownian motions -- KLT of the B(t2H)B(t2H) time-rescaled Brownian motion -- Maccone second KLT theorem: KLT of all time-rescaled square Brownian motions -- KLT of the B2(t2H)B2(t2H) time-rescaled square Brownian motion -- Maccone third KLT theorem: Asymptotic KLT of GBM -- A Matlab code for KLT simulations -- KLT applications and a Fortran code Stephane Dumas -- Claudio Maccone and Stephane Dumas -- pt. 4. The United Nations and protection of the Moon's farside -- The United Nations and protection of the Moon's farside -- pt. 5. Epilogue -- Epilogue: Evolution, progress, and SETI |
| Summary |
This book introduces the Statistical Drake Equation where, from a simple product of seven positive numbers, the Drake Equation is turned into the product of seven positive random variables. The mathematical consequences of this transformation are demonstrated and it is proven that the new random variable N for the number of communicating civilizations in the Galaxy must follow the lognormal probability distribution when the number of factors in the Drake equation is allowed to increase at will. Mathematical SETI also studies the proposed FOCAL (Fast Outgoing Cyclopean Astronomical Lens) space mission to the nearest Sun Focal Sphere at 550 AU and describes its consequences for future interstellar precursor missions and truly interstellar missions. In addition the author shows how SETI signal processing may be dramatically improved by use of the Karhunen-Loève Transform (KLT) rather than Fast Fourier Transform (FFT). Finally, he describes the efforts made to persuade the United Nations to make the central part of the Moon Far Side a UN-protected zone, in order to preserve the unique radio-noise-free environment for future scientific use |
| Analysis |
Physics |
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Astrophysics |
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Astronomy, Observations and Techniques |
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Extraterrestrial Physics, Space Sciences |
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Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Search for Extraterrestrial Intelligence (Study group : U.S.)
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| SUBJECT |
Search for Extraterrestrial Intelligence (Study group : U.S.) fast |
| Subject |
Astrophysics -- Mathematics
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Astrophysics -- Data processing
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NATURE -- Sky Observation.
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Physique.
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Astronomie.
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Astrophysics -- Data processing
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Astrophysics -- Mathematics
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| Form |
Electronic book
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| ISBN |
9783642274374 |
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3642274374 |
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