A full house for a premiere performance: Wynton Marsalis bucks the trend in contemporary music. He’s an established name, more for his jazz than his classical work. But in recent years he has produced a substantial body of orchestral music, so the flocking crowds know what to expect. His new Violin Concerto continues the trend. Popular American idioms – mainly jazz and blues – are integrated into a classically oriented orchestral style with an impressive craftsmanship that hides all the joins.

He’s an American jazz giant; she’s a Scottish doyenne of the classical violin. Anyone familiar with one more than the other – and that’s more or less everyone – would do a double take to see their names on the same bill. But this week at Barbican Hall, a new concerto by Wynton Marsalis will be premiered by Nicola Benedetti and the London Symphony Orchestra.

Stravinsky and Bartók both escaped Europe at the start of the second world war to live in the USA. For Stravinsky it was the start of 30 years of mostly happy exile, while Bartók was to survive for only five years. Works from their time in America featured in Valery Gergiev’s penultimate concert as principal conductor of the LSO last night.

Last night's perfectly-judged, superbly communicated performance of Mahler's Fourth Symphony served as a reminder that the passion, experience and astonishing musicality of 86-year-old conductor Bernard Haitink are things to be cherished and never taken for granted. The symphony, first performed in 1901, was the main work in this second of Haitink's three concerts with the LSO before they leave together for Japan.

Gergiev’s programme for this concert raised eyebrows when the Proms were announced: all five Prokofiev piano concertos, presented in chronological order, over the course of a long evening. As it turned out, he had some good reasons for his plan. The three Russian pianists he lined up – Daniil Trifonov (Concertos 1 and 3), Sergei Babayan (2 and 5), and Alexei Volodin (4) – had between them the talent to carry any programme.

Over the past decade Krystian Zimerman and  Sir Simon Rattle have created and evolved a performing idea of Brahms’s D minor piano concerto which is still remarkable for its considered weight and grimly imposing grandeur, Michelangelo’s Mosè in music.

How to respond to Mahler? That was the challenge set by the London Symphony Orchestra to Edward Rushton when they commissioned him to write an opener for this programme. Rushton’s response was to take a story from a biography of Alma and spin it into an orchestral fantasy. The story goes that Alma, listening to Gustav compose the Fifth Symphony, complained about the excessive orchestration, which he then dutifully toned down.

With Kavakos, Faust, Shaham and Skride already been and gone, and Jansen, Ehnes, Bell and Ibragimova still to come, the LSO’s International Violin Festival has nothing left to prove. We’re not short of star power in London’s concert scene, but even by our spoilt metropolitan standards this is a pretty unarguable line-up. With excellence a given, then, it takes quite a lot to startle a crowd into delight – especially on a Sunday night. But that’s what Christian Tetzlaff did with the unassuming freshness and brilliance of his Beethoven.

Malcolm Arnold: Symphonies 1-9 London Symphony Orchestra/Richard Hickox, BBC Philharmonic/Rumon Gamba (Chandos)

Time was when a Boulez concert with the LSO would have been directed by the man himself, but that is no longer possible. In Peter Eötvös they have the next best thing, a conductor who has known the man and his music for decades, whose listening ear is scarcely less acute and whose most recent appearance wth the LSO, in Lachenmann and Brahms with Maurizio Pollini, made quite miraculous music from intensive rehearsal.