It made me think a little of Borodine.
"Three Soldiers" by John Dos Passos
Borodine, for instance, is the first to systematically employ successions of harmonics.
"Violin Mastery" by Frederick H. Martens
Borodin's music is a reading of Russia's destiny in the book of her past.
"Musical Portraits" by Paul Rosenfeld
To-morrow night another town shall sink in ghastly flames; And as I crossed the Borodin, so shall I cross the Thames!
"The Bon Gaultier Ballads" by William Edmonstoune Aytoun
Theodore Martin
Borodin's "A Prairie Scene" given by the Boston Symphony Orchestra.
"Annals of Music in America" by Henry Charles Lahee
In Borodin's style we always find a glowing color-scheme of Slavic and Oriental elements.
"Music: An Art and a Language" by Walter Raymond Spalding
Calypso Andros reminds you of Eva Borodin.
"Project Cyclops" by Thomas Hoover
Eva Borodin was meeting him there; a decade-late reunion after all the stormy water under the bridge.
"Project Daedalus" by Thomas Hoover
Critical Essays on the most important of Rimsky-Korsakov's operas, Borodin's "Prince Igor," Dargomizhsky's "Stone Guest," etc.
"The Influence of the Organ in History" by Dudley Buck
Throughout, Sun Yat-sen worked in close collaboration with Borodin.
"Government in Republican China" by Paul Myron Anthony Linebarger
Opera in four acts and a prologue by Borodin.
"The Complete Opera Book" by Gustav Kobbé
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In particular at some point we use a result of Borodin giving a strong approximation of the local time of Brownian motion by the random walk local time.
On the local time of random processes in random scenery
We will use Borodin’s result on approximations of Brownian local time by random walks local time.
On the local time of random processes in random scenery
John Wiley & Sons, Inc., New York, (1995), xiv+593 pp. Borodin, A. N. A limit theorem for sums of independent random variables deﬁned on a recurrent random walk. (Russian) Dokl.
On the local time of random processes in random scenery
The dynamics we have just described is known as the Long Range Totally Asymmetric Exclusion Process, and it is also a special case of PushASEP, see [Borodin-Ferrari-08a], [Spitzer-70].
Lectures on integrable probability
Y j+1 i+k (t) = Y j+k The Markov chain Y was introduced in [Borodin-Ferrari-08b] as an example of a 2d growth model relating classical interacting particle systems and random surfaces arising from dimers.
Lectures on integrable probability
Y N at a ﬁxed time t can be identiﬁed with a lozenge tiling of a sector in the plane and with a stepped surface (see the introduction in [Borodin-Ferrari-08b] for the details).
Lectures on integrable probability
In particular, this leads to an eﬃcient perfect sampling algorithm, which allows to visualize how a typical random (skew) plane partition looks like, see [Borodin-11] for details and Figure 20 for a result of a computer simulation.
Lectures on integrable probability
The fact that all of the above specializations are non-negative on Macdonald symmetric functions Pλ is relatively simple, see e.g. [Borodin-Corwin-11, Section 2.2.1].
Lectures on integrable probability
Recently, new applications of these measures and new tools to work with them were developed starting from [Borodin-Corwin-11].
Lectures on integrable probability
Integrating over all possible paths we arrive at the partition function, see [Borodin-Corwin-11], [Borodin-Corwin-Ferrari-12] and references therein for more details.
Lectures on integrable probability
The computation which leads to this determinant (see [Borodin-Corwin-11] for the proof ) turns out to be parallel to the “shift contour argument” in the harmonic analysis on Riemannian symmetric spaces, which goes back to Helgason and Heckman–Opdam, see [Heckman-Opdam-97] and references therein.
Lectures on integrable probability
However, the moments of the partition function of the O’Connell–Yor directed polymer grow rapidly (as ek2 , cf. [Borodin-Corwin-12]) and the series in the right side of (7.6) does not converge for any u (cid:54)= 0.
Lectures on integrable probability
See [Borodin-Corwin-Sasamoto-12] for further developments in this direction.
Lectures on integrable probability
Borodin, Determinantal point processes, in Oxford Handbook of Random Matrix Theory, Oxford University Press, 2011. arXiv:0911.1153.
Lectures on integrable probability
Borodin, Schur dynamics of the Schur processes.
Lectures on integrable probability
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