William Gignac (11 results)

Hard Cover. Reprint. xi, 287pp. with b/w illustrations, does NOT include the map package, book one only. Light soil to outer edges and light creasing from page handling. Red boards have light edge/rub wear and light soil marks. Musty odor. Actual book for sale pictured. 21.5 x 28.3 x 2.8cm, wt1.5KG Please note the book is oversized and it may require extra postage. Size: 4to - over 9¾" - 12" tall.…

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Condition: New.

Condition: As New. Unread book in perfect condition.

Condition: New.

Paperback. Condition: New. We study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs f : (X, x0) -- (X, x0), where X is a complex surface having x0 as a normal singularity. We prove that as long as x0 is not a cusp singularity of X, then it is possible to find arbitrarily high modifications ?: X? -- (X, x0) such that the dynamics of f (or more precisely of fN for N big enough) on X? is algebraically stable. This result is proved by understanding the dynamics induced by f on a space of valuations associated to X; in fact, we are able to give a strong classification of all the possible dynamical behaviors of f on this valuation space. We also deduce a precise description of the behavior of the sequence of attraction rates for the iterates of f . Finally, we prove that in this setting the first dynamical degree is always a quadratic integer.…

Paperback / softback. Condition: New. New copy - Usually dispatched within 3 working days.

Condition: As New. Unread book in perfect condition.

Condition: New. Studies the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs f : (X, x0) --> (X, x0), where X is a complex surface having x0 as a normal singularity.

Taschenbuch. Condition: Neu. Neuware.

Paperback. Condition: New. We study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs f : (X, x0) -- (X, x0), where X is a complex surface having x0 as a normal singularity. We prove that as long as x0 is not a cusp singularity of X, then it is possible to find arbitrarily high modifications ?: X? -- (X, x0) such that the dynamics of f (or more precisely of fN for N big enough) on X? is algebraically stable. This result is proved by understanding the dynamics induced by f on a space of valuations associated to X; in fact, we are able to give a strong classification of all the possible dynamical behaviors of f on this valuation space. We also deduce a precise description of the behavior of the sequence of attraction rates for the iterates of f . Finally, we prove that in this setting the first dynamical degree is always a quadratic integer.…