Any sitting judge can hear any case, regardless of the department to which the judge is assigned. The judges agree to accept assignments to different departments (traffic, small claims, limited, unlimited, criminal, probate, juvenile), but that distinction is only by agreement of the judge, because once elected to office, a California Superior Court judge is lawfully authorized to hear any
case over which the Superior court has subject matter jurisdiction
The list you provide shows what cases the judges have agreed to hear, and so that is what they will be assigned by the clerks office. Legally, however, the judge could walk into the clerk and demand a case outside of that agreement, and the clerk would have to provide it, if it were unassigned.
Obviously, a judge who decided to break with the established protocols would face a huge wave of resistance. But, legally, the judge could stand on ceremony and ultimately prevail.
Hope this helps.
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